In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…

This edited volume gathers contributions from international scholars focusing on social media's role and impact on mathematics education. Social media's integration into pedagogical strategies (from social networking sites to video-sharing platforms) offers the opportunity to enhance learning by fostering connectivity and engagement among…

During the author's eighteen-year tenure as a high school mathematics teacher, there has been one question that she has yet to answer: "Why don't students do homework?" On the basis of research, many factors may lead to a student leaving homework undone. A student may lack the drive to complete work out of school. Or a student may choose…

Gain a new perspective on the sharing of erroneous solutions in classroom discussions. Based on their research in grades four and six, the authors reveal how student-to-student correction of errors promotes mathematical reasoning and understanding. Tips for teachers include strategies for using students' errors to encourage reasoning during…

"Help! I'm stuck!" How many times have you heard a student make a similar plea? What do you consider when deciding how to respond? What reasoning is most productive? As part of a large research project, the authors explored these questions with 131 prospective and practicing teachers and found patterns in their reasoning. They began their project…

One goal of 21st-century education is to develop mature citizens who can identify issues, solve problems, and communicate solutions. What better way for students to learn these skills than by participating in a science and engineering fair? Fair participants face the same challenges as professional scientists and engineers, even Nobel laureates.…

"Number Talks" is: (1) A five- to fifteen-minute classroom conversation around purposefully crafted computation problems that are solved mentally; and (2) The best part of a teacher's day. Whether you want to implement number talks but are unsure of how to begin or have experience but want more guidance in crafting purposeful problems, this…

We challenged an Aquatic Biology class to find a way to access, observe, and record aquatic habitats and organisms without causing disruption. Using off the shelf components the class was guided in the design and assembly of a remote controlled, video broadcasting, data collecting, floating vehicle based on a molded goose decoy. GOOSE-CAM or…

The concepts of self-determination and self-advocacy have been a focus in the education of students with disabilities and many new curricula, guidelines, and materials have recently become available for educators. This article describes a project that involved individuals with intellectual disabilities in making a movie as a strategy for exploring…

This article describes a technology-based and hands-on instructional intervention designed to advance middle school students' understandings of fractions. This problem-solving experience is based on the principles of Enhanced Anchored Instruction (EAI) and proved instructionally worthwhile and motivating to teachers and students in both inclusive …

The Field Trip to the Moon program uses an inquiry-based learning approach that fosters team building and introduces students to careers in science and engineering. The program components include a DVD and classroom investigations. The compelling DVD (not included here) provides essential information about Earth and the Moon. The hands-on…

Field Trip to the Moon uses an inquiry-based learning approach that fosters team building and introduces participants to careers in science and engineering. The program components include the Field Trip to the Moon DVD [not included here], Lunar Reconnaissance Orbiter (LRO)/Lunar Crater Observation and Sensing Satellite (LCROSS) Activities, and…

The Field Trip to the Moon program uses an inquiry-based learning approach that fosters team building and introduces young people to careers in science and engineering. The program components include the Field Trip to the Moon show (either on DVD or presented in a planetarium dome) and workshop investigations. The compelling show provides…