Drawing appropriate diagrams is a useful problem solving heuristic that can transform a problem into a representation that is easier to exploit for solving it. One major focus while helping introductory physics students learn effective problem solving is to help them understand that drawing diagrams can facilitate problem solution. We conducted an…

In recent decades, technology has influenced various aspects of assessment in mathematics education: (1) supporting the assessment of higher-order thinking skills in mathematics, (2) representing authentic problems from the world around us to use and apply mathematical knowledge and skills, and (3) making the delivery of tests and the analysis of…

Productive struggle leads to productive classrooms where students work on complex problems, are encouraged to take risks, can struggle and fail yet still feel good about working on hard problems (Boaler, 2016). Teachers can foster a classroom culture that values and promotes productive struggle by providing students with challenging tasks. These…

Prior research has used many variants of "be creative" or brainstorm instructions to enhance creativity in a variety of tasks. However, differences in instruction wording may lead to differences in instruction interpretation, and varying the placement of instructions before or after a written problem description may lead to differences…

Physics problems can be posed in different ways. Given a physics scenario, different problem types presenting that scenario in various ways can emphasize different instructional goals. In this investigation, we examined the views of physics graduate teaching assistants (TAs) enrolled in a semester-long TA professional development course about the…

There is increasing recognition that the underachievement of Maori, Pasifika, and other diverse students in New Zealand schools is in large part owing to systemic factors that disadvantage these students. Responding to the urgent need for significant change in our schools and classrooms, the developing mathematical inquiry communities model is a…

This article reflects on a school's approach to gamifying the Royal Society Te Aparangi's First CREST Award. The article explains how CREST was reconceived as a quest using elements of live action role playing (LARP) and gamification, and the tools that were used to do this. It describes how progress was measured using a points system and the…

Problem-solving occurs when mathematical tasks create opportunities that provide challenges for increasing students' mathematical understanding and development. This research study determined the influence of the "launch-explore-summarize/extend" problem-solving framework on second-grade student performance of place value tasks. The…

In this paper, I look at multiple layers of context to explore the "figured world" of mathematics teaching in primary schools in Chile. I collected data from 15 teachers during 18 months after their participation in professional development for collaborative problem-solving mathematics. I found constraints to impact on the teachers'…

The present study used a regression discontinuity approach to test whether schema-based instruction (SBI) was effective for students identified with varying levels of mathematics difficulties (MD) who received Tier 1 instruction. The performance of these students was compared to similar students who received business as usual Tier 1 instruction.…

The Creative Responsibility Based Teaching (CRBT) model is an innovative physics-teaching model designed to enhance students' scientific creativity and responsibility. Therefore, this research aims to analyze the effectiveness of CRBT model to improve scientific creativity and first year students' responsibility on Basic Physics learning in…

The design of a teaching model must qualify to be applicable or practical and effective, therefore the research aimed to analyze the practicality and effectiveness of the IBMR (Investigation-Based Multiple Representation) teaching model in improving physics problems solving skills of bachelor programs' students. The research was conducted by…

Generalization and proof are a foundation of mathematical practice and as such should be integral to K-12 mathematics instruction. However, if generalizing and proving are to become popular within K-12 mathematics classrooms, we must consider how to effectively enlist pre-service teachers (PSTs) into supporting these activities in their…

The paper deals with searching for synthetic solution supported by the means of dynamic geometry. It consists of two parts. The first one describes how software influences searching for synthetic solutions of geometric problems. The second one describes a small pilot experiment in which students of Faculty of Education solved two more difficult…

This study aims to investigate the positive impacts and challenges of cooperative learning as a pedagogical practice in teaching English as a foreign language. It applied the social theoretical frameworks by Dansereau and Johnson (1994) and by Johnson and Johnson (2009). Fifty participants (twenty EFL teachers and thirty EFL students) from several…