Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United StatesRoutledge |
Contents
Approaches To Teaching A Topic | 1 |
Dealing With Students Mistakes | 24 |
Division By Fractions | 47 |
The Relationship Between Perimeter And Area | 72 |
Profound Understanding Of Fundamental Mathematics | 92 |
When And How Is It Attained? | 107 |
Chapter 7 Conclusion | 123 |
Appendix | 131 |
133 | |
How Liping Mas Knowing and Teaching Elementary Mathematics Entered the US Mathematics and Mathematics Education Discourses | 138 |
How Liping Mas Knowing and Teaching Elementary Mathematics Entered the US Mathematics and Mathematics Education Discourses | 158 |
160 | |
164 | |
Common terms and phrases
algorithm approach arithmetic basic book’s calculation chapter China Chinese teachers classroom column commutative law computation conceptual understanding connections correct curriculum decomposing a higher digit discussion distributive law dividing division by fractions divisor elementary mathematics elementary school ematics example explain explore February 25 four topics fundamental mathematics grade higher value unit idea impact increase interviews key piece knowledge package Lee Shulman Liping Ma’s book math math wars mathematical knowledge mathematicians mathematics education mathematics teaching meaning of division Michigan State University minuend model of division multidigit multiplication operations partial products perimeter and area personal communication place value procedural knowledge procedure profound understanding rationale rectangle represent representation Richard Askey school mathematics Shulman solve strategy student’s claim subject matter knowledge subtraction with regrouping taught teacher education teachers tended teaching and learning textbook tion two-digit numbers U.S. teachers understanding of fundamental whole number width zeros