This article features a fifth grade mathematics exploration planned to facilitate students' productive struggle. The exploration was a catalyst for a team of educators to unpack the teacher's experience when facilitating students' productive struggle. The team called this "teacher productive struggle" and shares about the construct…

Since its first notable appearance in the "Second Handbook of Research on Mathematics Teaching and Learning," the phrase productive struggle has garnered support from a few, yet very influential, educational researchers. However, since the phrase was popularized by Hiroko Warshauer in 2011, examinations of the productive struggle have…

Uncertainties are inherent in education as learners encounter gaps in their awareness of topics, receive new information that potentially conflicts with prior understandings, and grapple with known unknowns in order to construct new knowledge. While researchers have shown that students productively struggling with problematized and uncertain…

As problems become increasingly complex, science educators need to better understand how new knowledge is constructed and applied in heterogeneous team collaborations, and how to teach students to productively engage in these processes. We discuss the emergence of insights in collaborative sensemaking and suggest a model that articulates the…

The issue of low math performance, particularly in schools serving historically marginalized communities, requires immediate attention. Despite implementing various interventions, including leadership changes, curriculum updates, and hiring consultants, student achievement in math has remained stagnant at Ida B. Wells Academy (Wells). This case…

Mathematics is not seen as an absolute corpus of well-founded knowledge anymore, but as a human activity, a social phenomenon, part of human culture that evolves historically and intelligibly in a social context. By harnessing the indigenous cultures and their knowledge systems in-depth, this article aims to evaluate how the sustainable…

The article is based on an empirical, interview-based research project investigating resources and barriers to creative teaching within three Danish primary and secondary schools. The analysis shows how project-oriented teaching does seem to represent a creativity oasis for both teachers and pupils. Furthermore, the work identifies a distinction…

Article stresses the skills gained in problem-solving over mere information transmission in the classroom. (GB)

Provides a set of guidelines that has been developed to aid students in meeting various reading, learning, and study needs while internalizing the fundamentals of problem solving. The code words for the steps in the suggested problem-solving process are: count, characterize, consider, collect, and create. (MKM)

Examines three problem-solving models that have applications for the elementary school classroom. All are easily understandable, practical, pedagogical, and will improve children's thinking. Models are the Universal Traveler, Philosophy for Children, and the Decide Model. (Author/AV)

This publication was designed to help teachers learn about promising materials, methods, and techniques for teaching creative thinking and problem solving to disadvantaged elementary school children. Two kinds of reviews of published teaching materials for specific grade levels and subject areas are included: (1) reviews of commercially published…

A discussion of intuition, doubt, and surprise in mathematics arising from a problem involving rational points and lines. (RS)

The purpose of this study was to assess the effects of varying instructions and time to respond in administering divergent thinking tests. Variations in testing conditions change the magnitude and nature of the scores obtained. (Author)

Criticizes the DPPC Method (Direct, Pure, Piecemeal, and Complete) of mathematics instruction which is designed to enable the lower ninety percent to become proficient in problem solving. Suggests that this method is deceptive since students learn to follow a prescribed recipe rather than becoming problem solvers. (JR)