Windmill images and shapes have a long history in geometry and can be found in problems in different mathematical contexts. In this paper, we share and discuss various problems involving windmill shapes and solutions from geometry, algebra, to elementary number theory. These problems can be used, separately or together, for students to explore…

This paper examines constructive play in the context of Waldorf and normative kindergartens in Israel. In conceptualizing the output of children's construction, the current research relies upon the fields of problem-solving and technological thinking, using the design process model. The research results were based on a sample of 39 construction…

Elementary and middle school prospective teachers participated in semi-structured problem posing for integer addition and subtraction. The prospective teachers (n = 98) posed a variety of different stories, but this paper focuses on the temperature stories they posed. Results include descriptions of their posed temperature stories through the lens…

Pre-service teachers need creative thinking and problem solving skills to support their teaching quality. The aims of this research: (1) problems in science teaching, creative thinking and problem solving skills of pre-service teachers; (2) improvements of creative thinking and problem solving skills of pre-service teachers through Ethno-SETSaR…

In this article, the authors define numberless math stories and highlight three strategies for supporting equitable problem solving: (1) The Turn-and-Tell Strategy; (2) Storyboard and Story Mat; and (3) The Act-It-Out Strategy. These three strategies open up problem solving and give every student access to a challenging mathematics curriculum…

This article discusses a set of tasks that introduce dilations using nonstandard figures, incorporating snippets of classroom conversations as students try to make sense of the specified tasks, to show how they progress in their understanding. The authors provide a theoretical foundation for the tasks and discuss the pedagogical implications for…

While there has been much research focused on beginning teachers; and mathematical problem solving in the classroom, little is known about beginning primary teachers' learning to teach mathematics through problem solving. This longitudinal study examined what supported beginning teachers to start and sustain teaching mathematics through problem…

In programming problem solving activities, sometimes, students need feedback to progress in the course, being positively affected by the received feedback. This paper presents an overview of the state of the art and practice of the feedback approaches on introductory programming. To this end, we have carried out a systematic literature mapping to…

Physics teachers need diagnostic competence to effectively identify students' misconceptions, but studies have yet to sufficiently investigate how this competence can be advanced through various instructional strategies. In this study, we compared a problem-solving strategy against an example-based strategy in advancing diagnostic competence in…

Communication theory can be challenging to teach in an engaging manner. The following original teaching activity suggests a way to incorporate the phenomenon of escape rooms into your theory classroom. Courses: Communication Theory, Introduction to Communication. Objectives: In this activity, students will apply the basic tenets of several…

Optimization is a vital mathematical concept widely applied in various engineering fields. However, teaching this subject to engineering students often involves abstract materials, making it challenging for them to grasp. To address this issue, a group of five mathematics lecturers collaborated on designing a practical lesson on optimization for…

The increasing and diversifying student enrollments in introductory physics courses make reliable, valid, and usable instruments for measuring student skills and gains ever more important. In introductory physics, in addition to teaching facts about mechanics, we also seek to teach our students the skills of "thinking like a physicist,"…

The synthesis of digital teacher competencies for students in the higher education teaching profession aims to: 1) synthesize digital teacher competencies for teacher students in higher education 2) assess how suitable these digital teacher competencies are for students in the teaching profession within higher education. This study employed…

The purpose of this study was to evaluate the effect of an intervention utilizing modified schema-based instruction (MSBI) on the mathematical problem-solving ability of elementary school students with mild to moderate disabilities. Four participants were taught to solve percent of change word problems, which required them to calculate the…

Purpose: The purpose of this research study is to explore simple collaborative technique for teaching mathematics and thus improving the problem solving skills of the students. Better pedagogic activities are required to motivate the students to perceive mathematics as a subject that stimulates problem-solving skills required for engineers.…