Conventional word problems can't help students build mathematical modeling skills. on their own. But they can be leveraged! We examined how middle and high school students made sense of word problems and offer strategies to question and extend word problems to promote mathematical reasoning.

Positioning students as competent is a teaching practice that uses specific, explicit affirmations to note that students have contributed something meaningful to the community of learners. It supports student agency in the mathematics classroom and contributes to the development of a positive mathematics identity. In this article, the authors…

The aim of this article is to inspire more teachers to explore the use of codable robots for teaching mathematics. The authors begin by discussing four benefits experienced by incorporating robots into middle school mathematics classes: (1) reasonable time frames; (2) authentic purposes for mathematics; (3) visual and nonevaluative feedback; and…

This article explores facilitating meaningful mathematics discourse, one of the research-based practices described in "Principles to Actions: Ensuring Mathematical Success for All." Two tools that can support teachers in strengthening their classroom discourse are discussed in this, another installment in the series.

Engaging in argumentation can lead to an increase in the development of critical-thinking skills, not to mention academic achievement, emotional maturity, and academic and communication skills. If argumentation is such an effective format for developing rigorous academic ideas, how might it be used in discussion-oriented classrooms to engage…

In April 2018, the National Council of Teachers of Mathematics (NCTM) released "Catalyzing Change in High School Mathematics: Initiating Critical Conversations," a long-needed and well-articulated position for transforming the core purposes, structures, instructional practices, essential mathematics concepts, and organization of high…

Learn how to provide rich, online mathematics instruction that maximizes the screen time you have with students and includes parents without overwhelming them. Marian Small shows teachers how to use open questions and parallel tasks as ideal strategies for teaching math in a virtual environment, how to adapt existing materials, how to build and…

In this insightful math resource for grades 3-8, popular professional developer Marian Small helps teachers understand and facilitate meaningful assessments to advance student understandings. Small shows new and veteran teachers how to do three fundamental things well: identify the most important math to assess; construct meaningful…

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

This arithmetic textbook aims to train children to meet the ordinary demands of life. This book fulfills the need identified by school superintendents that the social and economic applications of arithmetic be taught in the upper grades so that grammar school children will have an insight into the typical business practices of modern life.

This arithmetic textbook is part of a series that aims to train children to meet the ordinary demands of life. This volume provides drills and reviews of the essentials covered in the preceding books, and it adds many special short methods of calculation that increase efficiency. The chief aim is to extend the child's power to make practical…