Most mathematicians state mathematics is a field of beauty, creativity, and innovation, yet what is echoed by students is not how mathematics allows students to explore, but rather the ways in which it constrains and does not necessitate creativity. In comparison, many students associate coding with freedom, and the ability to create and express…

Quantitative reasoning, although included in most science courses, can be challenging to teach. In this article, we explore whether cooperative learning may help instructors teach quantitative reasoning and enhance students' understanding and learning experience. Our lesson was taught in a large introductory geoscience course. The lesson required…

A challenge in mathematics education research is to coordinate different analyses to develop a more comprehensive account of teaching and learning. I contribute to these efforts by expanding the constructs in Cobb and Yackel's (1996) interpretive framework that allow for coordinating social and individual perspectives. This expansion involves four…

The American educational system currently yields disappointing levels of science, technology, engineering, and math (STEM) engagement and achievement among students. One way to remedy this may be to increase children's motivation in STEM from an early age. This study examined whether a social cue--being part of an experimental "minimal…

Math fact fluency is critical for understanding complex mathematics. Explicit timing interventions have shown promise for improving math fluency, and they may benefit from being paired with group-oriented contingencies. Further, investigations of independent and dependent group-oriented contingencies would help to identify their relative…

Elementary school mathematics is increasingly recognized for its crucial role in developing the foundational skills and understandings for algebra. In this article, the author uses a lesson to introduce the concept of "rates"--comparing two different types and units of measure--and how to graph them. Described is the lesson and shared…

We describe our approach to incorporating a civic engagement component into a quantitative literacy (QL) course and the resulting gains in student learning, confidence, and awareness of local civic issues. We revised the existing QL course by including semester-long group projects involving local community issues that students could investigate…

There is a need for collaborative group activities that promote student social interaction in the classroom. Handheld computers interconnected by a wireless network allow people who work on a common task to interact face to face while maintaining the mediation afforded by a technology-based system. Wirelessly interconnected handhelds open up new…

Describes teaching methods employed in German elementary school classrooms that develop discovery, creativity, and a spirit of cooperation in students learning mathematics. Methods included free choice of learning activities by students and small group cooperative activities. Students' motivation, self-confidence, social and communications skills,…

When students take their first upper division mathematics course after an introduction to proof course, they are often overwhelmed by the prospect of writing in a mathematics course. In mathematics, unlike other disciplines, students are very seldom asked to respond via writing to a reading assignment, to write an essay about a topic they have…

Small-group cooperative learning provides an alternative to both traditional whole-class expository instruction and individual instruction systems. The procedures described in this volume are realistic, practical strategies for using small groups in mathematics teaching and learning with methods applicable to all age levels, curriculum levels, and…