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Lynch, Sararose D.; Hunt, Jessica H.; Lewis, Katherine E. – Mathematics Teaching in the Middle School, 2018

This article demonstrates how to consider differentiating instruction for diverse learners while maintaining the cognitive demand of a mathematics task. The authors present scenarios involving hypothetical cases of students in inclusive classrooms who engaged in productive struggle within the differentiated task. The authors specifically focus on…

Descriptors: Secondary School Mathematics, Mathematics Instruction, Individualized Instruction, Student Needs

Lischka, Alyson E.; Gerstenschlager, Natasha E.; Stephens, D. Christopher; Strayer, Jeremy F.; Barlow, Angela T. – Mathematics Teacher, 2018

Mistakes can be a source of frustration for teachers and students in mathematics classrooms because they reveal potential misunderstandings or a lack of learning. However, increasing evidence shows that making mistakes creates productive pathways for learning new ideas and building new concepts (Boaler 2016; Borasi 1996). Learning through…

Descriptors: Mathematics Instruction, Error Patterns, Teaching Methods, Homework

Clinch, Adam – Mathematics Teacher, 2018

One of the foundational topics in first-year algebra concerns the concept of factoring. This article discusses an alternative strategy for factoring quadratics of the form ax[superscript 2] + bx + c, known as "factoring for roots." This strategy enables students to extend the knowledge they used when the leading coefficient was 1 and…

Descriptors: Mathematics Instruction, Algebra, Teaching Methods, Problem Solving

Ichinose, Cherie Lynn; Martinez-Cruz, Armando M. – Mathematics Teacher, 2018

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) propose a new vision for the mathematics classroom with updated content standards and Standards for Mathematical Practice (SMP). These practices are founded on NCTM processes (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections) and abilities…

Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Common Core State Standards

Bixby, Matt M. – Mathematics Teacher, 2018

Almost twenty years ago, the National Council of Teachers of Mathematics (NCTM) published "Principles and Standards for School Mathematics" (2000), which recommended that teachers should incorporate more writing into their math lessons, claiming that writing helps students "consolidate their thinking" (p. 402) by causing them…

Descriptors: Mathematics Instruction, Writing Assignments, Teaching Methods, Content Area Writing

Lowe, James; Carter, Merilyn; Cooper, Tom – Australian Mathematics Teacher, 2018

Mathematical models are conceptual processes that use mathematics to describe, explain, and/or predict the behaviour of complex systems. This article is written for teachers of mathematics in the junior secondary years (including out-of-field teachers of mathematics) who may be unfamiliar with mathematical modelling, to explain the steps involved…

Descriptors: Mathematics Instruction, Mathematical Models, Algebra, Mathematics Teachers

Obara, Samuel – Australian Mathematics Teacher, 2018

Students learn mathematics by solving problems. Mathematics textbooks are full of problems, and mathematics teachers use these problems to test students' understanding of mathematical concepts. This paper discusses how problem-solving skills can be fostered with a geometric tiling problem.

Descriptors: Mathematics Instruction, Problem Solving, Teaching Methods, Mathematical Concepts