Common Misconceptions in Mathematics

Bobby Ojose

doi:10.5771/9780761858867

Summary

This book should be a handy tool for teachers of mathematics as they develop plans to confront the problem of misconceptions, which are common with students that often have their own notion of certain mathematical concepts, right or not. The onus is on the teacher to detect those misconceptions and help students remedy them. This book is written for that purpose. Teachers could emulate the presented strategies that the book has elucidated. Teachers may also devise their own strategies based on the source of the misconception as presented in the book. The research segment of each identified misconception will be helpful if teachers want to apprise themselves with what the literature says about the concept. In general, the book is meant for teachers who want to help students engage in mathematics that emphasize conceptual understanding.

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Bibliographic data

Publication year: 2015
Publication date: 01.05.2015
ISBN-Print: 978-0-7618-5885-0
ISBN-Online: 978-0-7618-5886-7
Publisher: Hamilton Books, Lanham
Language: English
Pages: 136
Product type: Book Titles

1. Contents No access
2. Acknowledgments No access
3. Introduction No access
1. Misconception 1. Addition Sentence No access
2. Misconception 2. Subtraction of Whole Numbers No access
3. Misconception 3. Addition of Fractions No access
4. Misconception 4. Subtraction of Fractions No access
5. Misconception 5. Rounding Decimals No access
6. Misconception 6. Comparing Decimals No access
7. Misconception 7. Multiplying Decimals No access
8. Misconception 8. More on Multiplying Decimals No access
9. Misconception 9. Division of Decimals No access
10. Misconception 10. Percent Problems No access
11. Misconception 11. Division by a Fraction No access
12. Misconception 12. Ordering Fractions No access
13. Misconception 13. Least Common Multiple (LCM) No access
14. Misconception 14. Addition of Decimal Numbers No access
15. Misconception 15. Subtraction of Integers No access
16. Misconception 16. Converting Linear Units No access
17. Misconception 17. Power to a Base No access
18. Misconception 18. Order of Operations I No access
19. Misconception 19. Order of Operations II No access
20. Misconception 20. Simplifying Square Roots No access
21. Misconception 21. Comparing Negative Numbers No access
22. Misconception 22. Addition of Negative Integers No access
23. Misconception 23. Scientific Notation No access
24. Misconception 24. Proportional Reasoning No access
25. Misconception 25. Time Problem No access
1. Misconception 26. Dividing Rational Expressions No access
2. Misconception 27. Adding Rational Expressions No access
3. Misconception 28. Adding Unlike Terms No access
4. Misconception 29. Adding Like Terms No access
5. Misconception 30. Distributive Property No access
6. Misconception 31. Writing a Variable Expression No access
7. Misconception 32. Simplifying a Variable Expression No access
8. Misconception 33. Factoring No access
9. Misconception 34. Exponents Addition No access
10. Misconception 35. Zero Exponents No access
11. Misconception 36. Solving Equation by Addition and Subtraction No access
12. Misconception 37. Solving Equation by Division and Multiplication No access
13. Misconception 38. Fractional Equations No access
14. Misconception 39. One-Step Inequality No access
15. Misconception 40. Absolute Value No access
16. Misconception 41. Operations with Radical Expressions No access
17. Misconception 42. Simplifying Polynomials No access
18. Misconception 43. Systems of Equations No access
Conclusion No access Pages 122 - 123
Appendix A. List of Manipulatives and Their Uses No access Pages 124 - 124
Appendix B. Teaching Standards No access Pages 125 - 125
References No access Pages 126 - 134
About the Author No access Pages 135 - 136