We discuss two proof evaluation activities meant to promote the acquisition of learning behaviors of professional mathematics within an introductory undergraduate proof-writing course. These learning behaviors include the ability to read and discuss mathematics critically, reach a consensus on correctness and clarity as a group, and verbalize what…

In this paper, we explored the type of mathematical connections Grade 11 learners make when solving two-dimensional (2D) trigonometric problems in an Activity-Based Learning (ABL) environment. We followed a qualitative case study design within an interpretive paradigm. Convenience sampling was used to select a whole class of 45 Grade 11 learners…

There exist many studies on modeling competencies and their promotion; however, there is a need to investigate what modeling competencies are and how they vary in lower and higher-achieving groups of students in mathematics within the current modeling literature domain. This study examined how mathematical modeling competencies were displayed in…

Quantitative Reasoning for Professionals is a two-semester general education sequence that teaches basic and intermediate algebra through the lens of quantitative reasoning. In this course sequence, we emphasize communication and inference-making while teaching practical algebra skills for students in programs such as business, nursing, and social…

Learning by invention is an alternative approach to teaching statistics where students are tasked with attempting to solve a problem before being taught the canonical formula for solving it, often resulting in increased understanding of material compared with traditional instruction. The first study, conducted in a college statistics classroom…

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…

Mathematical modeling is an essential integrated piece of the Common Core State Standards. However, researchers have shown that mathematical modeling activities can be difficult for teachers to implement. Teachers are more likely to implement mathematical modeling activities if they have their own successful experiences with such activities. This…

The purpose of this qualitative study was: (a) to explore the cognitive and metacognitive processes of mathematics problem-solving discourse of 10-year-old students in Russia, Spain, Hungary, and the United States; and (b) to explore the patterns of social interactions during small group work. Data were analyzed using a cognitive/metacognitive…

Indonesia's involvement in the Programme for International Student Assessment (PISA) is one attempt to see how far the development of educational programs in our country compared to other countries in the world. PISA results show that Indonesia is still at the lower level. This means that the ability of Indonesian students in solving problems that…

Real world mathematical modeling activities can develop needed and valuable 21st century skills. The knowledge and skills to become adept at mathematical modeling need to develop over time and students in the elementary grades should have experiences with mathematical modeling. For this to occur elementary teachers need to have positive…

This study implemented a three-stage problem-based estimation instruction scenario and combined it with mobile technology to provide elementary teachers with an effective e-tool for observing student estimation and leading effective class or group discussions on the selection and assessment of appropriate strategies for solving daily estimation…

Describes how teachers of the gifted can make the study of mathematics dynamic, innovative, and creative through the exploration of problem-solving skills and real-life applications. Math competitions and general academic competitions that include mathematics for elementary schools, middle schools, and high schools are highlighted. (CR)

In addition to reviewing the literature on the pros and cons of computer use in the schools, this document reports the results of a research project in which 13 pairs of first graders learned to use the LOGO computer language over a 10-week period as part of their classroom activities. The first two chapters discuss the overall question of…

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,…

Describes a two-day program within a developmental mathematics course utilizing group-building exercises and initiative problems (problems with physical solutions) to foster communication, problem-solving skills, and math confidence. Presents results of student evaluations of program showing increased interest and confidence in mathematics, and…