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Hodges, Thomas E.; Johnson, Malisa; Roy, George J. – Teaching Children Mathematics, 2017

Children's intuitive understandings of mathematical ideas--both correct, generalizable strategies alongside misconceptions--showcase the complexity of their thinking. However, recognizing children as complex thinkers is one thing but it is another thing altogether to leverage their ideas to plan for and carry out mathematics instruction. The…

Descriptors: Grade 4, Elementary School Students, Elementary School Mathematics, Mathematics Instruction

Kurz, Terri L.; Robles, Rolando – Teaching Children Mathematics, 2016

To improve access to STEM curriculum, an activity was planned that presents the opportunity to design and build using gears and other tools. In this challenge, preservice elementary school teachers were asked to mathematically analyze gears and create an amusement park ride that uses gears to spin. Although this lesson was implemented with…

Descriptors: Elementary School Mathematics, STEM Education, Mathematics Activities, Preservice Teachers

Meikle, Erin M. – Teaching Children Mathematics, 2016

Many teachers are using the Five Practices model to guide them in orchestrating whole-class mathematics discussions that focus on understanding: (1) anticipate an array of possible student-generated solution strategies to a mathematical task before implementing the lesson; (2) monitor students' work as they grapple with the task; (3) select a…

Descriptors: Mathematics Instruction, Teaching Methods, Methods Courses, Elementary School Mathematics

Poling, Lisa L.; Goodson-Epsy, Tracy; Dean, Chrystal; Lynch-Davis, Kathleen; Quickenton, Art – Teaching Children Mathematics, 2015

The role of teacher education is to initiate purposeful conversation regarding specific content, to provide the scaffold for which preservice teachers can begin to understand the subject matter for the purpose of teaching, and to acknowledge gaps in their conceptual knowledge (Grossman and Shoenfeld with Lee 2005). Teacher candidates may enter…

Descriptors: Mathematics Instruction, Mathematics Teachers, Preservice Teacher Education, Preservice Teachers

Philipp, Randolph A.; Hawthorne, Casey – Teaching Children Mathematics, 2015

Although fraction operations are procedurally straightforward, they are complex, because they require learners to conceptualize different units and view quantities in multiple ways. Prospective secondary school teachers sometimes provide an algebraic explanation for inverting and multiplying when dividing fractions. That authors of this article…

Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Concepts, Secondary School Teachers

Jong, Cindy; Magruder, Robin – Teaching Children Mathematics, 2014

Having a deeper understanding of division derived from multiple models is of great importance for teachers and students. For example, students will benefit from a greater understanding of division contexts as they study long division, fractions, and division of fractions. The purpose of this article is to build on teachers' and students'…

Descriptors: Arithmetic, Mathematics Instruction, Mathematical Applications, Word Problems (Mathematics)