Bibliography for Teachers
Carpenter, Thomas P.. Children's mathematics: cognitively guided instruction. Portsmouth, NH: Heinemann, 1999. Lays out how children's mathematical thinking develops and gives multiple activities and strategies for teaching.
"Common Core State Standards Initiative | The Standards | Mathematics." Common Core State Standards Initiative | Home. http://www.corestandards.org/the-standards/mathematics (accessed May 25, 2011). I mapped this unit according to core standards.
Huat, Juliana Ng Chye, and Lim Kian Huat. A handbook for mathematics teachers in primary schools. Singapore: Marshall Cavendish Education:, 2003. Lays out methods to develop problem solving skills and demonstrates the use of models for use in instruction.
Ma, Liping. Knowing and teaching elementary mathematics teachers' understanding of fundamental mathematics in China and the United States. Mahwah, N.J.: Lawrence Erlbaum Associates, 1999. This research compares the methods used to teach math in the US to those used in China in an easy and informative way.
Math in focus: the Singapore approach.. Teacher's ed. Singapore: Marshall Cavendish Education ;, 2009. I utilized the teacher's guides from 1st to 3rd grade to help with my understanding of the flow and use of the Singapore approach to teaching
Mirra, Amy. Focus in prekindergarten grade 2: teaching with curriculum focal points. Reston, VA: National Council of Teachers of Mathematics, 2009. This book gives ideas on how to integrate the ideals of the common core curriculum.
Howe, Roger. "Starting off right in arithmetic." Reading, Great Ideas of Primary Mathematics from Yale National Initiative, New Haven, July 11, 2011. Outlines the basic steps needed to learn mathematics.
Howe, Roger. "The Number line and addition and subtraction." Reading, Great Ideas of Primary Mathematics from Yale National Initiative, New Haven, July 11, 2011. Describes how to use the number line with addition and subtraction.
Howe, Roger. "Three Pillars of First Grade Mathematics." Reading, Great Ideas of Primary Mathematics from Yale National Initiative, New Haven, July 11, 2011. Lays out some of the fundamental concepts needed in 1 st grade.
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