The Better Math Teaching Network offers a promising, practical model for teacher learning. Its practitioner members--who all teach at least one section of high school algebra and all joined voluntarily--are working with each other and a team of researchers to make their teaching more student-centered through an improvement science approach. With…

These proceedings contain the papers of the 18th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2021), held virtually, due to an exceptional situation caused by the COVID-19 pandemic, from October 13-15, 2021, and organized by the International Association for Development of the Information Society…

An account is given of the importance and role of trust in motivating teachers to understand students and develop instructional approaches. Three examples of student actions, teacher learning, and instructional change that resulted from understanding students' goals are presented, as well as guidelines for teacher reflection. (Contains 3 figures.)

The purpose of this study is to analyze the relationship between student behaviors and the growth of mathematical ideas (using the Pirie-Kieren model). This analysis was accomplished through a series of case studies, involving middle school students of varying ability levels, who were investigating a combinatorics problem in after-school…

Autonomous Learning Behavior (ALB) as mediators between internal and external influences and performance on high level cognitive tasks was proposed as a possible explanation for gender-related differences in mathematics. This study developed a measure of ALB by drawing on teachers' working knowledge and the literature on problem-solving, including…

Reports examples of the behaviors, including kinetic and vocal, used to facilitate problem-solving based on observations of four seventh-grade students. Discusses the use of the behaviors in problem-solving teaching. (YP)

High school students (n=295) were administered variants of the student-professor problem to ascertain whether errors could be traced to implicit versus explicit relationships between the variables. Concludes that implicit variable relationship problems were harder than explicit variable relationship problems. A follow-up study to explore why is…

A study determined the abilities of students to interpret and represent graphs by asking 15-year-old female students (n=10) to write stories to accompany any 3 of 12 graphs presented. Results indicated that the students were not able to accurately relate real life situations to graphical forms. (MDH)

This study examined the behaviors and experiences of students who needed assistance while working in peer-directed small groups on mathematics problems and the processes that helped or hindered their learning. Students in 4 seventh-grade classes worked in heterogeneous small groups throughout a 3-week unit on operations with decimal numbers.…

The "Thinking Mathematics" approach to teaching is guided by two ideas: (1) that learning requires knowledge upon which new problems and situations are interpreted and (2) that mathematics skills are applied in context. This paper reports research that examined whether teaching mathematics students in high school remedial classes can be…

This review of research generates principles for the design of instructional programs that foster critical-thinking dispositions. The dispositional aspect of critical thinking may be considered part of attitudinal memory, readily activated if sufficiently strong. We describe evidence suggesting that ill-structured problem-solving can provide…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…