16 misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 can you identify the misconception? what might...

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16 Misconcepti ons

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Page 1: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

16 Misconceptions

Page 2: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

12

<3 43

>1 72

>2Can you identify the misconception?

What might this student believe to be

true about all fractions?

Page 3: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

6

961 - 537Can you identify the

misconception?

43

What is the misconception?

Page 4: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

How many circles?

Can you identify the

misconception?

10

Can you tell what this student likely did when counting?

Page 5: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Round to the nearest ten.

Can you identify the

misconception?

23 20

86 90

184 2004,36

9 4,000

What does this tell you about the student’s

understanding of rounding?

Page 6: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

13

<

Can you identify the misconception?

14

110

> 17

What likely happened here?

Page 7: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

387.265Can you

identify the misconception?

What digit is in the tenths place? 6

What digit is in the hundredths place? 2

The “2” reveals something very useful, and then we realize that the

student’s reason for answering “6” is incorrect. What was it?

Page 8: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

Is the number of circles odd or even?

odd

Why might this student have decided to

respond with “odd?”

Page 9: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

Identify the digit in each place.

4.261 hundredths _____

thousandths _____

6

2

What does “2” thousandths reveal about the student’s

understanding?

Page 10: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

Divide each shape into thirds.

Why were the lines drawn

like this?

Page 11: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

What is ten more?

56

Does this look familiar? Do you know why a student may write 46 in the box?

Page 12: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

Is each number prime or composite?

72 __________ 57 __________prime

prime

Why?Why?

This student had a specific reason for writing “prime.” What do you think it was?

Page 13: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

Evaluate.

5 ×2³

Can you see specifically where this number came

from? What misconception

does this reveal?

Page 14: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

What is the volume?

4 cm3 cm

10 ½ cm

Why 60? Look carefully.

Page 15: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

Each box has 9 mints. There are 6 boxes. Chuck ate 2 mints. How many are left?

Do you see how the student interpreted

the language?

Page 16: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

95, 96, 97, _____, _____, _____, _____98 99 100 1001

Why 1001?

Page 17: 16 Misconceptions. 1 2 < 3 4 3 > 1 7 2 > 2 Can you identify the misconception? What might this student believe to be true about all fractions?

Can you identify the misconception?

0 1 2 3 4 5 6 7 8 9 10

3 + 4 = 2 + 8 = 5 + 3 =

Can you tell specifically what the student did in each case?

Is this a misconception?