By modeling learning students enjoy learning and doing mathematics in new ways. This study aimed firstly to produce senior high school mathematics modeling tasks, lesson plan, and student worksheet for valid mathematical learning; secondly, to produce senior high school mathematics modeling, lesson plan, and student worksheet for practical…

Redesigning undergraduate biology courses to integrate quantitative reasoning and skill development is critical to prepare students for careers in modern medicine and scientific research. In this paper, we report on the development, implementation, and assessment of stand-alone modules that integrate quantitative reasoning into introductory…

This article is a report on a teacher study group that focused on three elementary teachers' perceptions of mathematical modeling in contrast to typical mathematics instruction. Through the theoretical lens of figured worlds, I discuss how mathematics instruction was conceptualized across the classrooms in terms of artifacts, discourse, and…

The purpose of this study was to investigate three second-year graduate students' awareness and understanding of the relationships among the "big ideas" that underlie the concept of derivative through modeling tasks and Skemp's distinction between relational and instrumental understanding. The modeling tasks consisting of warm-up,…

To explore student mathematical self-efficacy and understanding of graphical data, this dissertation examines students solving real-world problems in their neighborhood, mediated by professional urban planning technologies. As states and schools are working on the alignment of the Common Core State Standards for Mathematics (CCSSM), traditional…

The activity uses an area model to analyze probabilities associated with games of chance. Three activity sheets are included, with teaching suggestions. (MNS)

Described is a game that is used to introduce the concept of multiplying integers. Serving as a physical model for the concept, "Froggie Frolic" races frogs along a number line by moves that indicate direction, magnitude, and number of jumps, thus modeling integer multiplication. A teacher's guide and worksheets are provided. (MDH)

Presents activities that utilize representations of the side, front, and top views of three-dimensional configurations of blocks to develop spatial-visualization skills and aspects of the concept of function. Provides worksheets of these open-ended investigations. (MDH)

"Seeing Fractions" is an instructional unit for teachers in California that was trial tested in about 30 classrooms, grades 4 through 6 with diverse student populations, and designed to help students become aware of the variety of ways in which fractions are commonly used. The Introduction includes an overview of fractions and what…