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[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate the gradient on a linear section on a real life graph\nSubject: Real Life Graphs\nQuestion: The cost of a taxi-ride is shown on the graph.\n\nWhat is the cost per mile? ![The graph is Cost (£) on the vertical axis and Distance (miles) on the horizontal axis. The graph is a straight line from (0, 2) to (5, 6)]()\nIncorrect Answer: \\( £ 1.20 \\)\nCorrect Answer: \\( £ 0.80 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes change in y for gradient is always calculated from the origin, regardless of the y-intercept of the line |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate the gradient on a linear section on a real life graph\nSubject: Real Life Graphs\nQuestion: The cost of a taxi-ride is shown on the graph.\n\nWhat is the cost per mile? ![The graph is Cost (£) on the vertical axis and Distance (miles) on the horizontal axis. The graph is a straight line from (0, 2) to (5, 6)]()\nIncorrect Answer: \\( £ 1 \\)\nCorrect Answer: \\( £ 0.80 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When reading graph, chooses nearest marked value on axis instead of reading accurately |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: For a given input find the output of a function machine\nSubject: Function Machines\nQuestion: Cally wants to use the function machine below to solve this problem:\n\nI think of a number, double it, subtract 5, and the answer is \\( 23 \\).\n\nWhich of the following should replace the star? ![A function machine with 4 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and has \"input\" written above it. The next 2 rectangles are empty and the final rectangle on the right has a purple star inside it and has \"output\" written above it.]()\nIncorrect Answer: \\( n \\)\nCorrect Answer: \\( 23 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When using a function machine, confuses the input and the output. |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: For a given input find the output of a function machine\nSubject: Function Machines\nQuestion: Cally wants to use the function machine below to solve this problem:\n\nI think of a number, double it, subtract 5, and the answer is \\( 23 \\).\n\nWhich of the following should replace the star? ![A function machine with 4 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and has \"input\" written above it. The next 2 rectangles are empty and the final rectangle on the right has a purple star inside it and has \"output\" written above it.]()\nIncorrect Answer: \\( \\times 2 \\)\nCorrect Answer: \\( 23 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not understand where to place inputs/ operations/ outputs when drawing a function machine |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: For a given input find the output of a function machine\nSubject: Function Machines\nQuestion: Cally wants to use the function machine below to solve this problem:\n\nI think of a number, double it, subtract 5, and the answer is \\( 23 \\).\n\nWhich of the following should replace the star? ![A function machine with 4 rectangles in a row, joined by arrows pointing from left to right. The first rectangle on the left is empty and has \"input\" written above it. The next 2 rectangles are empty and the final rectangle on the right has a purple star inside it and has \"output\" written above it.]()\nIncorrect Answer: \\( -5 \\)\nCorrect Answer: \\( 23 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not understand where to place inputs/ operations/ outputs when drawing a function machine |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Use inequality notation to order fractions whose denominators are not multiples of the same number \nSubject: Ordering Fractions\nQuestion: What sign would make this statement true?\n\\(\n\\frac{4}{6} ? \\frac{10}{15}\n\\)\nIncorrect Answer: \\( < \\)\nCorrect Answer: \\( = \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes that fractions with larger denominators are greater in size |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Simplify an algebraic fraction by factorising both the numerator and denominator\nSubject: Simplifying Algebraic Fractions\nQuestion: Simplify the following, if possible\n\\(\n\\frac{5 m-10}{m^{2}+3 m-10}\n\\)\nIncorrect Answer: \\( \\frac{5 m}{m^{2}+3 m} \\)\nCorrect Answer: \\( \\frac{5}{m+5} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Simplifies a fraction by adding or subtracting the same amount from the numerator and denominator |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Simplify an algebraic fraction by factorising both the numerator and denominator\nSubject: Simplifying Algebraic Fractions\nQuestion: Simplify the following, if possible\n\\(\n\\frac{5 m-10}{m^{2}+3 m-10}\n\\)\nIncorrect Answer: Does not simplify\nCorrect Answer: \\( \\frac{5}{m+5} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not know how to simplify algebraic fractions |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Divide proper fractions in the form: Fraction ÷ Integer\nSubject: Dividing Fractions\nQuestion: Calculate:\n\\(\n\\frac{2}{5} \\div 2\n\\)\nIncorrect Answer: \\( \\frac{4}{5} \\)\nCorrect Answer: \\( \\frac{1}{5} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | when dividing a fraction by an integer, multiplies the numerator by the integer |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Divide proper fractions in the form: Fraction ÷ Integer\nSubject: Dividing Fractions\nQuestion: Calculate:\n\\(\n\\frac{2}{5} \\div 2\n\\)\nIncorrect Answer: \\( \\frac{4}{10} \\)\nCorrect Answer: \\( \\frac{1}{5} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When dividing a fraction by an integer, multiplies both the numerator and denominator by the integer |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Interpret the gradient on a linear section on a real life graph\nSubject: Real Life Graphs\nQuestion: Jadon decides to go for a run.\nThe graph on the right shows Jadon's speed in metres per second \\( (s) \\) over time in seconds\n\\( (t) \\).\n\nThe gradient of the negative sloping section of the graph is \\( 0.8 \\).\n\nWhich of the following does that \\( 0.8 \\) best represent? ![A sketch of a graph with s on the y axis and t on the x axis. A straight line slopes upwards from the origin 2/3 of the way up the graph, 1/5 across the graph. It then becomes horizontal for the next 1/5 of the graph, before sloping downwards in a straight line for the remainder of the graph. ]()\nIncorrect Answer: Jadon is travelling at a speed of \\( 0.8 \\mathrm{~m} / \\mathrm{s} \\)\nCorrect Answer: Jadon is decelerating at a rate of \\( 0.8 \\mathrm{~m} / \\mathrm{s}^{2} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes the gradient of a speed-time graph is the speed |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Interpret the gradient on a linear section on a real life graph\nSubject: Real Life Graphs\nQuestion: Jadon decides to go for a run.\nThe graph on the right shows Jadon's speed in metres per second \\( (s) \\) over time in seconds\n\\( (t) \\).\n\nThe gradient of the negative sloping section of the graph is \\( 0.8 \\).\n\nWhich of the following does that \\( 0.8 \\) best represent? ![A sketch of a graph with s on the y axis and t on the x axis. A straight line slopes upwards from the origin 2/3 of the way up the graph, 1/5 across the graph. It then becomes horizontal for the next 1/5 of the graph, before sloping downwards in a straight line for the remainder of the graph. ]()\nIncorrect Answer: Jadon is accelerating at a rate of \\( 0.8 \\mathrm{~m} / \\mathrm{s}^{2} \\)\nCorrect Answer: Jadon is decelerating at a rate of \\( 0.8 \\mathrm{~m} / \\mathrm{s}^{2} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes a downward slope on a speed-time graph shows positive acceleration |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Sketch curves in the form (x + a)(x + b) indicating where they cross the axes\nSubject: Sketching from Factorised Form\nQuestion: \\( y=(x-8)(x-6) \\) \\( y=(x-8)(x-6) \\) Where does this curve intercept the \\( y \\) axis? Where does this curve intercept the \\( y \\) axis?\nIncorrect Answer: \\( (0,-14) \\) \\( (0,-14) \\)\nCorrect Answer: \\( (0,48) \\) \\( (0,48) \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Adds instead of multiplying when expanding bracket |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Sketch curves in the form (x + a)(x + b) indicating where they cross the axes\nSubject: Sketching from Factorised Form\nQuestion: \\( y=(x-8)(x-6) \\) \\( y=(x-8)(x-6) \\) Where does this curve intercept the \\( y \\) axis? Where does this curve intercept the \\( y \\) axis?\nIncorrect Answer: \\( \\begin{array}{c}(0,8) \\\\ \\text { and } \\\\ (0,6)\\end{array} \\) \\( \\begin{array}{c}(0,8) \\\\ \\text { and } \\\\ (0,6)\\end{array} \\)\nCorrect Answer: \\( (0,48) \\) \\( (0,48) \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes that the y intercept is where y = 0 |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Sketch curves in the form (x + a)(x + b) indicating where they cross the axes\nSubject: Sketching from Factorised Form\nQuestion: \\( y=(x-8)(x-6) \\) \\( y=(x-8)(x-6) \\) Where does this curve intercept the \\( y \\) axis? Where does this curve intercept the \\( y \\) axis?\nIncorrect Answer: \\( (0,-48) \\) \\( (0,-48) \\)\nCorrect Answer: \\( (0,48) \\) \\( (0,48) \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes multiplying two negatives gives a negative answer |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Use the order of operations to carry out calculations involving roots\nSubject: BIDMAS\nQuestion: Tom and Katie are discussing calculations involving square roots.\n\nTom says \\( \\sqrt{16}+\\sqrt{9}=5 \\)\n\nKatie says \\( \\sqrt{16+9}=5 \\)\n\nWho is correct?\nIncorrect Answer: Both Tom and Katie\nCorrect Answer: Only Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When adding roots, adds the numbers under the roots |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Use the order of operations to carry out calculations involving roots\nSubject: BIDMAS\nQuestion: Tom and Katie are discussing calculations involving square roots.\n\nTom says \\( \\sqrt{16}+\\sqrt{9}=5 \\)\n\nKatie says \\( \\sqrt{16+9}=5 \\)\n\nWho is correct?\nIncorrect Answer: Neither is correct\nCorrect Answer: Only Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not understand square root |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Find the nth term rule for an ascending fractional linear sequence\nSubject: Linear Sequences (nth term)\nQuestion: \\( \\frac{1}{24}, \\frac{1}{12}, \\frac{1}{8}, \\frac{1}{6}, \\ldots \\) When calculating the nth-term rule of this sequence, what should replace the rectangle? ![nth-term rule:\n\\[\n\\frac{1}{24} n\n\\] followed by a purple rectangle. ]()\nIncorrect Answer: \\( +\\frac{1}{24} \\)\nCorrect Answer: \\( +0 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Uses first term as numerical part of nth term rule |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Carry out a subtraction problem with positive integers where the answer is less than 0\nSubject: Adding and Subtracting Negative Numbers\nQuestion: Tom and Katie are trying to write calculations based on the diagram below.\n\nTom writes: \\( 15-20=-5 \\)\n\nKatie writes: \\( (-5)+20=15 \\)\n\nWho is correct? ![Number line with an arrow marked -20 going from 15 to -5]()\nIncorrect Answer: Only Tom\nCorrect Answer: Both Tom and Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not recognise that addition is the inverse operation of subtraction |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Carry out a subtraction problem with positive integers where the answer is less than 0\nSubject: Adding and Subtracting Negative Numbers\nQuestion: Tom and Katie are trying to write calculations based on the diagram below.\n\nTom writes: \\( 15-20=-5 \\)\n\nKatie writes: \\( (-5)+20=15 \\)\n\nWho is correct? ![Number line with an arrow marked -20 going from 15 to -5]()\nIncorrect Answer: Only Katie\nCorrect Answer: Both Tom and Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not recognise that subtracting a larger number from a smaller number will give a negative answer |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Carry out a subtraction problem with positive integers where the answer is less than 0\nSubject: Adding and Subtracting Negative Numbers\nQuestion: Tom and Katie are trying to write calculations based on the diagram below.\n\nTom writes: \\( 15-20=-5 \\)\n\nKatie writes: \\( (-5)+20=15 \\)\n\nWho is correct? ![Number line with an arrow marked -20 going from 15 to -5]()\nIncorrect Answer: Neither is correct\nCorrect Answer: Both Tom and Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not understand the diagram given in the question |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Given a description of an ascending sequence using quadratics in words, write some terms of that sequence\nSubject: Quadratic Sequences\nQuestion: A sequence is formed using the rule\n\nSquare the position and add \\( 5 \\)\n\nWhat is the third term in the sequence?\nIncorrect Answer: \\( 11 \\)\nCorrect Answer: \\( 14 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Mixes up squaring and multiplying by 2 or doubling |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Given a description of an ascending sequence using quadratics in words, write some terms of that sequence\nSubject: Quadratic Sequences\nQuestion: A sequence is formed using the rule\n\nSquare the position and add \\( 5 \\)\n\nWhat is the third term in the sequence?\nIncorrect Answer: \\( 6 \\)\nCorrect Answer: \\( 14 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When asked for a specific term in a sequence gives the next term |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Given a positive x value, find the corresponding y value for the curve y = x3 + c\nSubject: Cubics and Reciprocals\nQuestion: This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\boldsymbol{x}^{\\mathbf{3}} \\) ![\\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 2 \\) \\\\\n\\hline\\( y \\) & W \\\\\n\\hline\n\\end{tabular}]() What should replace the star?\nIncorrect Answer: \\( 5 \\)\nCorrect Answer: \\( 8 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Adds the index to the number |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Given a positive x value, find the corresponding y value for the curve y = x3 + c\nSubject: Cubics and Reciprocals\nQuestion: This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\boldsymbol{x}^{\\mathbf{3}} \\) ![\\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 2 \\) \\\\\n\\hline\\( y \\) & W \\\\\n\\hline\n\\end{tabular}]() What should replace the star?\nIncorrect Answer: \\( 6 \\)\nCorrect Answer: \\( 8 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Multiplies by the index |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Given a positive x value, find the corresponding y value for the curve y = x3 + c\nSubject: Cubics and Reciprocals\nQuestion: This is a part of the table of values for the equation \\( \\boldsymbol{y}=\\boldsymbol{x}^{\\mathbf{3}} \\) ![\\begin{tabular}{|c|c|}\n\\hline\\( x \\) & \\( 2 \\) \\\\\n\\hline\\( y \\) & W \\\\\n\\hline\n\\end{tabular}]() What should replace the star?\nIncorrect Answer: \\( 23 \\)\nCorrect Answer: \\( 8 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Writes the index as a digit on the end of a number |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate distance where speed and time are in the appropriate units\nSubject: Real Life Graphs\nQuestion: This displacement-time graph shows \\( 10 \\) seconds of Mo's journey home.\n\nDuring that time he travelled at a speed of \\( 15 \\mathrm{~m} / \\mathrm{s} \\).\n\nWhat distance should replace the star? ![The graph has its vertical axis labelled Distance (m) and it has no scale written except for a star three squares up.\nThe horizontal axis is labelled Time (secs) and has the scale 0, 2, 4, 6, 8, 10 in even steps.\nThe graph is a straight line sloping down from (0, star) to (10, 0).\n]()\nIncorrect Answer: \\( 6 m \\)\nCorrect Answer: \\( 150 \\mathrm{~m} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes scales on graphs must match on both axes |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate distance where speed and time are in the appropriate units\nSubject: Real Life Graphs\nQuestion: This displacement-time graph shows \\( 10 \\) seconds of Mo's journey home.\n\nDuring that time he travelled at a speed of \\( 15 \\mathrm{~m} / \\mathrm{s} \\).\n\nWhat distance should replace the star? ![The graph has its vertical axis labelled Distance (m) and it has no scale written except for a star three squares up.\nThe horizontal axis is labelled Time (secs) and has the scale 0, 2, 4, 6, 8, 10 in even steps.\nThe graph is a straight line sloping down from (0, star) to (10, 0).\n]()\nIncorrect Answer: \\( 30 \\mathrm{~m} \\)\nCorrect Answer: \\( 150 \\mathrm{~m} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Makes an assumption about the squares on a scale representing either 1 or 10 |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate distance where speed and time are in the appropriate units\nSubject: Real Life Graphs\nQuestion: This displacement-time graph shows \\( 10 \\) seconds of Mo's journey home.\n\nDuring that time he travelled at a speed of \\( 15 \\mathrm{~m} / \\mathrm{s} \\).\n\nWhat distance should replace the star? ![The graph has its vertical axis labelled Distance (m) and it has no scale written except for a star three squares up.\nThe horizontal axis is labelled Time (secs) and has the scale 0, 2, 4, 6, 8, 10 in even steps.\nThe graph is a straight line sloping down from (0, star) to (10, 0).\n]()\nIncorrect Answer: \\( 1.5 \\mathrm{~m} \\)\nCorrect Answer: \\( 150 \\mathrm{~m} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes distance = speed/time |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Solve problems involving converting between fractions, decimals and percentages\nSubject: Converting between Fractions and Percentages\nQuestion: \\( 0.5=\\frac{1}{2}=? \\% \\)\nIncorrect Answer: \\( 12 \\% \\)\nCorrect Answer: \\( 50 \\% \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Converts a fraction to a percentage by writing the numerator followed by the denominator |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Solve problems involving converting between fractions, decimals and percentages\nSubject: Converting between Fractions and Percentages\nQuestion: \\( 0.5=\\frac{1}{2}=? \\% \\)\nIncorrect Answer: \\( 2 \\% \\)\nCorrect Answer: \\( 50 \\% \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Converts fraction to percentage by putting % sign after the denominator |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Write algebraic expressions with correct algebraic convention\nSubject: Multiplying Terms\nQuestion: Simplify, if possible:\n\\(\na \\times 4\n\\)\nIncorrect Answer: \\( a 4 \\)\nCorrect Answer: \\( 4 a \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Writes the variable before the coefficient in an algebraic term |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Write algebraic expressions with correct algebraic convention\nSubject: Multiplying Terms\nQuestion: Simplify, if possible:\n\\(\na \\times 4\n\\)\nIncorrect Answer: \\( a^{4} \\)\nCorrect Answer: \\( 4 a \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Thinks multiplying a variable by a number is the same as raising that variable to the power of that number |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Rearrange formulae to change the subject where the subject appears once and two steps are needed\nSubject: Rearranging Formula and Equations\nQuestion: The formula for the area of a triangle, \\( A \\), is ![Triangle with base labelled b and perpendicular height labelled h]() \\( A=\\frac{1}{2}(b \\times h) \\) Rearrange this to make the base, \\( b \\), the subject.\nIncorrect Answer: \\( b=\\frac{1}{2}(h \\times A) \\)\nCorrect Answer: \\( b=\\frac{2 A}{h} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes they can change the subject of a formula just by swapping two letters |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Rearrange formulae to change the subject where the subject appears once and two steps are needed\nSubject: Rearranging Formula and Equations\nQuestion: The formula for the area of a triangle, \\( A \\), is ![Triangle with base labelled b and perpendicular height labelled h]() \\( A=\\frac{1}{2}(b \\times h) \\) Rearrange this to make the base, \\( b \\), the subject.\nIncorrect Answer: \\( b=\\frac{A}{2 h} \\)\nCorrect Answer: \\( b=\\frac{2 A}{h} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes dividing by a unit fraction is equivalent to dividing by its reciprocal |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Given the distance travelled, complete missing values on a speed-time graph\nSubject: Speed, Distance, Time\nQuestion: ![A speed-time graph. The vertical axis is labelled Speed (mph), with no scale labelled but 4 squares up is marked v.\nThe horizontal axis is labelled Time (hours) and the scale is 0, 1, 2, 3, 4 in even steps.\nThe graph first has a horizontal line from (0,v) to (2,v) and then a sloped line from (2,v) to (4,0).]() Work out the speed \\( v \\) if the distance travelled is \\( 90 \\) miles.\nIncorrect Answer: \\( 22.5 \\mathrm{mph} \\)\nCorrect Answer: \\( 30 \\mathrm{mph} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Thinks the shape of the graph does not affect the area calculation |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Convert between l and cm³\nSubject: Volume and Capacity Units\nQuestion: Complete this statement:\n\\( 4 \\) litres \\( = \\)_________ \\( \\mathrm{cm}^{3} \\)\nIncorrect Answer: \\( 4 \\)\nCorrect Answer: \\( 4000 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Thinks 1l = 1 cubic centimetre |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Convert between l and cm³\nSubject: Volume and Capacity Units\nQuestion: Complete this statement:\n\\( 4 \\) litres \\( = \\)_________ \\( \\mathrm{cm}^{3} \\)\nIncorrect Answer: \\( 400 \\)\nCorrect Answer: \\( 4000 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Thinks 1l = 100 cubic centimetres |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Convert between l and cm³\nSubject: Volume and Capacity Units\nQuestion: Complete this statement:\n\\( 4 \\) litres \\( = \\)_________ \\( \\mathrm{cm}^{3} \\)\nIncorrect Answer: \\( 40 \\)\nCorrect Answer: \\( 4000 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Thinks 1l = 10 cubic centimetres |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Rearrange formulae to change the subject where the subject appears once and two steps are needed\nSubject: Rearranging Formula and Equations\nQuestion: The formula for finding the average speed is\n\n\\(\n\\text { speed }(S)=\\frac{\\text { distance }(D)}{\\text { time }(T)}\n\\)\n\nWhich of the following are not correct?\nIncorrect Answer: \\( D=S T \\)\nCorrect Answer: \\( T=D S \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not know how to simplify algebraic fractions |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate the median as an average from an odd numbered list of data\nSubject: Averages (mean, median, mode) from a List of Data\nQuestion: What is the median of the following numbers?\n\\( 2,2,4,7,10 \\)\nIncorrect Answer: \\( 5 \\)\nCorrect Answer: \\( 4 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Finds the mean instead of the median |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate the median as an average from an odd numbered list of data\nSubject: Averages (mean, median, mode) from a List of Data\nQuestion: What is the median of the following numbers?\n\\( 2,2,4,7,10 \\)\nIncorrect Answer: \\( 2 \\)\nCorrect Answer: \\( 4 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Finds the mode instead of the median |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate the median as an average from an odd numbered list of data\nSubject: Averages (mean, median, mode) from a List of Data\nQuestion: What is the median of the following numbers?\n\\( 2,2,4,7,10 \\)\nIncorrect Answer: \\( 5.5 \\)\nCorrect Answer: \\( 4 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When finding the median for an odd numbered data set, find the midpoint of two values rather than giving the middle value |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Identify when it is appropriate to use a line graph\nSubject: Time Series and Line Graphs\nQuestion: Which of the following situations would a line graph be the most appropriate to use?\nIncorrect Answer: Showing the number of brothers and sisters children in a class have\nCorrect Answer: Showing how the traffic levels in a village have changed over time\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not understand that a line graph shows a relationship between 2 variables |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Identify when it is appropriate to use a line graph\nSubject: Time Series and Line Graphs\nQuestion: Which of the following situations would a line graph be the most appropriate to use?\nIncorrect Answer: Showing what time each member of a family went to bed last night\nCorrect Answer: Showing how the traffic levels in a village have changed over time\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not understand that a line graph shows a relationship between 2 variables |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Identify when it is appropriate to use a line graph\nSubject: Time Series and Line Graphs\nQuestion: Which of the following situations would a line graph be the most appropriate to use?\nIncorrect Answer: Showing the numbers of each type of animal in a zoo\nCorrect Answer: Showing how the traffic levels in a village have changed over time\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not understand that a line graph shows a relationship between 2 variables |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Read values off a displacement-time graph\nSubject: Time Series and Line Graphs\nQuestion: This graph shows the displacement of a ball from a starting point at various times.\nHow far did the ball travel between \\( 1 \\) and \\( 2 \\) seconds? ![A displacement versus time graph]() This graph displacem from a start\nIncorrect Answer: \\( 0.5 \\ \\text{m} \\)\nCorrect Answer: \\( 1.5 \\ \\text{m} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When finding the difference between two points on a time series graph, only uses one of the points. |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Read values off a displacement-time graph\nSubject: Time Series and Line Graphs\nQuestion: This graph shows the displacement of a ball from a starting point at various times.\nHow far did the ball travel between \\( 1 \\) and \\( 2 \\) seconds? ![A displacement versus time graph]() This graph displacem from a start\nIncorrect Answer: \\( 2 \\ \\text{m} \\)\nCorrect Answer: \\( 1.5 \\ \\text{m} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When finding the difference between two points on a time series graph, only uses one of the points. |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Read values off a displacement-time graph\nSubject: Time Series and Line Graphs\nQuestion: This graph shows the displacement of a ball from a starting point at various times.\nHow far did the ball travel between \\( 1 \\) and \\( 2 \\) seconds? ![A displacement versus time graph]() This graph displacem from a start\nIncorrect Answer: \\( 2.5 \\ \\text{m} \\)\nCorrect Answer: \\( 1.5 \\ \\text{m} \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Adds instead of subtracts when asked to find the difference |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Solve linear equations with the variable appearing on both sides, involving negative integers\nSubject: Linear Equations\nQuestion: Tom and Katie are arguing about a first step to solve this equation:\n\\(1-4 v=3-9 v\\)\n\nTom says you can write: \\( 1+5 v=3 \\)\n\nKatie says you can write: \\( -4 v=2-9 v \\)\n\nWho is correct?\nIncorrect Answer: Neither is correct\nCorrect Answer: Both Tom and Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not realise that to maintain balance in an equation they must add or subtract the same amount from both sides |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Round integers to the nearest 10\nSubject: Rounding to the Nearest Whole (10, 100, etc)\nQuestion: What is \\( 326 \\) rounded to the nearest \\( 10 \\) ?\nIncorrect Answer: \\( 300 \\)\nCorrect Answer: \\( 330 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Rounds to the wrong degree of accuracy (rounds too much) |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Round integers to the nearest 10\nSubject: Rounding to the Nearest Whole (10, 100, etc)\nQuestion: What is \\( 326 \\) rounded to the nearest \\( 10 \\) ?\nIncorrect Answer: \\( 320 \\)\nCorrect Answer: \\( 330 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Rounds down instead of up |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Round integers to the nearest 10\nSubject: Rounding to the Nearest Whole (10, 100, etc)\nQuestion: What is \\( 326 \\) rounded to the nearest \\( 10 \\) ?\nIncorrect Answer: \\( 350 \\)\nCorrect Answer: \\( 330 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Rounds to the wrong degree of accuracy (rounds too much) |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units\nSubject: Compound Area\nQuestion: Paige, Kaci and David want to find the area of the school playground. They each do it a different way. Who is correct? ![A compound shape made up of two rectangles. Dimensions are 6 metres by 12 metres and also 4 metres by 8 metres. Two sides do not have measurements so need to be deduced]()\nIncorrect Answer: Kaci: \\( 10 \\times 6+4 \\times 6 \\)\nCorrect Answer: Paige: \\( 12 \\times 6+8 \\times 4 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Cannot identify the correct side lengths to use when asked to find the area of a face |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate compound area involving just rectangles and squares, where the dimensions are given in the same units\nSubject: Compound Area\nQuestion: Paige, Kaci and David want to find the area of the school playground. They each do it a different way. Who is correct? ![A compound shape made up of two rectangles. Dimensions are 6 metres by 12 metres and also 4 metres by 8 metres. Two sides do not have measurements so need to be deduced]()\nIncorrect Answer: David: \\( 12 \\times 10-6 \\times 4 \\)\nCorrect Answer: Paige: \\( 12 \\times 6+8 \\times 4 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not know how to find missing lengths in a composite shape |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Carry out division problems involving one negative integer\nSubject: Multiplying and Dividing Negative Numbers\nQuestion: \\( 12 \\div(-4)= \\)\nIncorrect Answer: \\( 3 \\)\nCorrect Answer: \\( -3 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Believes dividing a positive by a negative gives a positive answer |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate the range from a list of data\nSubject: Range and Interquartile Range from a List of Data\nQuestion: What is the range of the following numbers?\n\\[\n1,5,5,17,-6\n\\]\nIncorrect Answer: \\( 5 \\)\nCorrect Answer: \\( 23 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Finds the mode rather than the range |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate the range from a list of data\nSubject: Range and Interquartile Range from a List of Data\nQuestion: What is the range of the following numbers?\n\\[\n1,5,5,17,-6\n\\]\nIncorrect Answer: \\( 11 \\)\nCorrect Answer: \\( 23 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | To find the range adds the biggest and smallest number rather than subtract |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Calculate the range from a list of data\nSubject: Range and Interquartile Range from a List of Data\nQuestion: What is the range of the following numbers?\n\\[\n1,5,5,17,-6\n\\]\nIncorrect Answer: \\( 16 \\)\nCorrect Answer: \\( 23 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not include negative numbers when calculating a range |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Describe an enlargement, with no centre of enlargement given, by a positive scale factor bigger than 1\nSubject: Length Scale Factors in Similar Shapes\nQuestion: Shape \\( Q \\) is an enlargement of shape \\( P \\).\nWhat calculation works out the constant of proportionality from shape \\( P \\) to shape \\( Q \\) ? ![To similar star shapes labelled P and Q. They have the same side labelled for P it is 3cm and for Q it is 11cm]()\nIncorrect Answer: \\( 3 \\div 11 \\)\nCorrect Answer: \\( 11 \\div 3 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When calculating a scale factor, thinks the division is the other way around. |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Describe an enlargement, with no centre of enlargement given, by a positive scale factor bigger than 1\nSubject: Length Scale Factors in Similar Shapes\nQuestion: Shape \\( Q \\) is an enlargement of shape \\( P \\).\nWhat calculation works out the constant of proportionality from shape \\( P \\) to shape \\( Q \\) ? ![To similar star shapes labelled P and Q. They have the same side labelled for P it is 3cm and for Q it is 11cm]()\nIncorrect Answer: \\( 3 \\times 11 \\)\nCorrect Answer: \\( 11 \\div 3 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When calculating a scale factor, multiplies instead of dividing. |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Describe an enlargement, with no centre of enlargement given, by a positive scale factor bigger than 1\nSubject: Length Scale Factors in Similar Shapes\nQuestion: Shape \\( Q \\) is an enlargement of shape \\( P \\).\nWhat calculation works out the constant of proportionality from shape \\( P \\) to shape \\( Q \\) ? ![To similar star shapes labelled P and Q. They have the same side labelled for P it is 3cm and for Q it is 11cm]()\nIncorrect Answer: \\( 11-3 \\)\nCorrect Answer: \\( 11 \\div 3 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | When calculating a scale factor, thinks they need to subtract rather than divide. |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division\nSubject: BIDMAS\nQuestion: What does the following equal?\n\\[\n8-7+10 \\times 3\n\\]\nIncorrect Answer: \\( -29 \\)\nCorrect Answer: \\( 31 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Applies BIDMAS in strict order (does not realize addition and subtraction, and multiplication and division, are of equal priority) |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Use the order of operations to carry out calculations involving addition, subtraction, multiplication, and/or division\nSubject: BIDMAS\nQuestion: What does the following equal?\n\\[\n8-7+10 \\times 3\n\\]\nIncorrect Answer: \\( 33 \\)\nCorrect Answer: \\( 31 \\)\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Carries out operations from left to right regardless of priority order |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Distinguish between congruency and similarity\nSubject: Congruency in Other Shapes\nQuestion: Tom and Katie are discussing congruence and similarity. Who is correct? Tom says these two squares are congruent ![An image of two squares. A little one and a big one. They are enlargements of each other.]() Katie says these two squares are similar ![An image of two squares. A little one and a big one. They are enlargements of each other.]()\nIncorrect Answer: Only\nTom\nCorrect Answer: Only Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Thinks congruent shapes are the same shape but can be different sizes |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Distinguish between congruency and similarity\nSubject: Congruency in Other Shapes\nQuestion: Tom and Katie are discussing congruence and similarity. Who is correct? Tom says these two squares are congruent ![An image of two squares. A little one and a big one. They are enlargements of each other.]() Katie says these two squares are similar ![An image of two squares. A little one and a big one. They are enlargements of each other.]()\nIncorrect Answer: Both Tom and Katie\nCorrect Answer: Only Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Thinks congruent shapes are the same shape but can be different sizes |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Distinguish between congruency and similarity\nSubject: Congruency in Other Shapes\nQuestion: Tom and Katie are discussing congruence and similarity. Who is correct? Tom says these two squares are congruent ![An image of two squares. A little one and a big one. They are enlargements of each other.]() Katie says these two squares are similar ![An image of two squares. A little one and a big one. They are enlargements of each other.]()\nIncorrect Answer: Neither is correct\nCorrect Answer: Only Katie\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Thinks congruent shapes are the same shape but can be different sizes |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Describe a 90° or 270° rotation giving the angle and direction of rotation, and the coordinates of the centre of rotation, where the centre of rotation lies on the edge or outside of the object \nSubject: Rotation\nQuestion: Jo and Paul are arguing about how to fully describe the rotation from shape \\( P \\) to shape \\( Q \\)\n\nJo says: \"a rotation of \\( 90^{\\degree} \\) anticlockwise\"\n\nPaul says: \"a rotation of \\( +270^{\\degree} \\) about \\( (-1,1)^{\\prime \\prime} \\)\n\nWho is correct? ![A coordinate grid with two trapeziums drawn on it and a centre of rotation marked on, one space to the right and one space up from the origin. Trapezium P has the coordinates: (-4,4) (-2,4) (-2,3) and (-4,1). Trapezium Q has the coordinates: (-4,-2) (-4,0) (-3,0) and (-1,-2).]()\nIncorrect Answer: Only\nJo\nCorrect Answer: Only Paul\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Forgets to give the centre of rotation |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Describe a 90° or 270° rotation giving the angle and direction of rotation, and the coordinates of the centre of rotation, where the centre of rotation lies on the edge or outside of the object \nSubject: Rotation\nQuestion: Jo and Paul are arguing about how to fully describe the rotation from shape \\( P \\) to shape \\( Q \\)\n\nJo says: \"a rotation of \\( 90^{\\degree} \\) anticlockwise\"\n\nPaul says: \"a rotation of \\( +270^{\\degree} \\) about \\( (-1,1)^{\\prime \\prime} \\)\n\nWho is correct? ![A coordinate grid with two trapeziums drawn on it and a centre of rotation marked on, one space to the right and one space up from the origin. Trapezium P has the coordinates: (-4,4) (-2,4) (-2,3) and (-4,1). Trapezium Q has the coordinates: (-4,-2) (-4,0) (-3,0) and (-1,-2).]()\nIncorrect Answer: Both Jo and Paul\nCorrect Answer: Only Paul\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Forgets to give the centre of rotation |
[
{
"content": "You are an assistant trying to identify the misconception that led a student to the incorrect answer instead of the correct one on a specific context",
"role": "system"
},
{
"content": "\nConstruct: Describe a 90° or 270° rotation giving the angle and direction of rotation, and the coordinates of the centre of rotation, where the centre of rotation lies on the edge or outside of the object \nSubject: Rotation\nQuestion: Jo and Paul are arguing about how to fully describe the rotation from shape \\( P \\) to shape \\( Q \\)\n\nJo says: \"a rotation of \\( 90^{\\degree} \\) anticlockwise\"\n\nPaul says: \"a rotation of \\( +270^{\\degree} \\) about \\( (-1,1)^{\\prime \\prime} \\)\n\nWho is correct? ![A coordinate grid with two trapeziums drawn on it and a centre of rotation marked on, one space to the right and one space up from the origin. Trapezium P has the coordinates: (-4,4) (-2,4) (-2,3) and (-4,1). Trapezium Q has the coordinates: (-4,-2) (-4,0) (-3,0) and (-1,-2).]()\nIncorrect Answer: Neither is correct\nCorrect Answer: Only Paul\n \n Identify the general misconception that led to the incorrect answer. Avoid using question-specific details such as exact numbers or variables. Focus on the overall reasoning error. Answer with a simple and concise sentence",
"role": "user"
}
] | Does not know about the + notation for directions in rotations |