Students learn mathematics best when they actively explore problems, connect solution methods, and synthesize ideas at just the right moment. Yet in many classrooms, this balance tips too quickly toward telling students how to solve problems, leaving less room for them to do the real mathematical work. "Teaching Mathematics Through Problem…

The teaching strategy based on the case study guide is based on the case study guided, with teachers as the mainstay, students as the main body, and teacher-student working together to complete the teaching tasks, which is in line with Chinese education characteristics of localized teaching strategies. This teaching strategy advocates coordinating…

Computational thinking--a set of mental and cognitive tools applied to problem solving--is a fundamental skill that all of us (and not just computer scientists) draw on. Educators have found that computational thinking enhances learning across a range of subjects and reinforces students' abilities in reading, writing, and arithmetic. This book…

Teaching fraction operations for conceptual understanding is a challenging task. For the topic of fraction division especially, teachers need support because teachers find this difficult to teach and elementary and middle school students struggle to learn this concept. Well-structured professional development can assist teachers in exploring their…

In the effort to create a multiculturally sensitive citizenry, addressing issues of immigration is critical in today's schools and society. Mathematics and social studies are subjects sensitive to the cultural and population shifts of society. Since STEM subjects and skills are what drive the 21st century classroom today, it is important that…

This practical book will help readers understand what STEAM is, how it differs from STEM, and how it can be used to engage students in K-8 classrooms. The authors present a conceptual model with recommendations and classroom examples illustrating various key aspects of STEAM teaching in action, including creating the correct teaching environment,…

The social studies curriculum travels through time and space and is bigger on the inside than it is on the outside. To an outsider, the social studies curriculum is a single line on a program of studies, 45 minutes of a student's school day. Those on the inside, however, know that the field covers history, geography, civics, economics, and much…

Many general and special education teachers teach mathematics word problems by defining problems as a single operation and linking key words to specific operations. Unfortunately, teaching students to approach word problems in these ways discourages mathematical reasoning and frequently produces incorrect answers. This article lists eight common…

Many general and special education teachers across the U.S. teach word problems by defining problems as a single operation (e.g., "Today, we're working on subtraction word problems") and linking key words (e.g., more, altogether, share, twice) to specific operations (e.g., share means to divide). Unfortunately, teaching students to…

In response to a desire to strengthen the economy, educational settings are emphasizing science, technology, engineering, and mathematics (STEM) curriculum and programs. Yet, because of the narrow approach to STEM, educational leaders continue to call for a more balanced approach to teaching and learning, which includes the arts, design, and…

Many children fail to master fraction arithmetic even after years of instruction, a failure that hinders their learning of more advanced mathematics as well as their occupational success. To test hypotheses about why children have so many difficulties in this area, we created a computational model of fraction arithmetic learning and presented it…

This article describes a preservice teacher's imaginative exploration of completing the square through a process of reasoning and sense making. She recounts historical perspectives and her own discoveries in the process of completing the square. Through this process of sense making, she engaged with the content standard of completing the square to…

"Designing backwards" is presented here as a means to utilize human-centered processes in diverse educational settings to help teachers and students learn to formulate and operate design processes to achieve three sequential and interrelated goals. The first entails teaching them to effectively and empathetically identify, frame and…

Generalization has been identified as a cornerstone of algebraic thinking (e.g., Lee, 1996; Sfard, 1995) and is at the center of a rich conceptualization of K-8 algebra (Kaput, 2008; Smith, 2003). Moreover, mathematics teachers are being encouraged to use figural-pattern generalizing tasks as a basis of student-centered instruction, whereby…

This study documents the inclusive, deliberate, and unintended educational practices in Japan for mathematically gifted students. It also aims to identify various schools' strengths and challenges in improving the mathematics education of these students. Case studies with multisite designs were undertaken in five middle schools selected using…