This study aims to examine changes in students' achievement in geometry, attitude towards geometry, and their self-efficacy perception of geometric knowledge while working on paper folding activities through an experimental research methodology. The sample for this experimental study was 108 ninth-grade high school students. The study's data were…

This article is intended to contribute to greater knowledge regarding the importance of flow and the time used to perform an activity, with a focus on students' mathematical experiences of 3D bodies. Thirty-one 9th-grade students took part in the study. Flow and variation theory was used in the analysis of lesson observations, submission tasks,…

Students are expected to use the Cartesian plane to represent and reason about mathematical concepts such as number systems, geometric figures, and functions. However, the simplicity of representing mathematical concepts that the Cartesian plane provides can cause us to overlook the difficulties many students have in constructing and using it.…

It is considered important to clarify the role of technology and engineering education for evolving STEM/STEAM education in each country. However, in Japan, unlike in other countries, the focus on STEAM education began after 2018, so the relevance of STEAM education to technology and engineering education has not yet been fully discussed.…

Purpose: In the constantly changing and evolving world of today, there is a need to raise individuals who are able to renew themselves, learn autonomously, and have higher order thinking skills such as critical thinking and deducing. The purpose of the present study is to investigate the effects of Technology Enhanced Problem-Based Learning…

In this study I examine the issue of how to support students' coordination of computer algebra systems (CAS) and paper-and-pencil in solving mathematics problems. Together with a classroom teacher I designed and conducted a collaborative teaching experiment in a ninth-grade algebra classroom to understand how to support students' coordination of…

Model-eliciting activities are problem-solving activities that differ from traditional problems as they include non-routine, open-ended, and complicated real-life situations with various solutions (Lesh & Doerr, 2003). According to Lesh, Hoover, Hole, Kelly and Post (2000), a model-eliciting activity must follow certain principles, namely, the…

In this paper we frame our observations in enactivism, specifically problem posing, to propose the notion of problem drift as a method to analyze the curriculum generating actions of small group learning systems in relation to teacher interventions intended to trigger specific content goals. Teacher attentiveness to problem drift is suggested to…

Since the 1950s, the understanding of how the base 10 system works has been encouraged through alternative base systems (Price 1995; Woodward 2004). If high school students are given opportunities to learn other base systems and analyze what they denote, we believe that they will better understand the structure of base 10 and its operations…

In this design-based study, a flipped learning approach using audio-visual resources as prelearning activities was examined in grades 6, 7, and 9 with four teachers and 65 students over one school year. The purpose of this study was to explore the implementation of a technology-enhanced pedagogy in science, math, and social studies. The…

This study shares two frameworks for analyzing teacher actions that support students in generalizing and examines how those frameworks align with teacher questioning. One classroom teaching episode focused on the mathematical activity of generalizing is shared to illustrate effective generalizing promoting practices. We found several patterns of…

The aim of this study was to observe the development process of the concept of a parabola in Taxicab geometry. The study was carried out in two stages. First, some activities related to Euclidean geometry and Taxicab geometry were designed based on concept development and real-life applications, and they were administered to a ninth-grade student.…

One of the most common household polyhedra is a cereal box. For over 100 years, American companies like Kellogg's™ have packaged cereal in containers shaped like rectangular prisms. Why is a rectangular prism the most commonly used solid for holding cereal? Would another design work equally or more efficient? This article describes an…

A good-quality teacher may determines a good-quality learning, thus good-quality students will be the results. In order to have a good-quality learning, a lot of strategies and methods can be adopted. The objective of this research is to improve students' ability in determining the rules of a numeric sequence and analysing the effectiveness of the…

This research aims to produce a Learning Trajectory Based Instruction (LTBI) that can help the ninth grade students understand the concept of congruence of the two-dimensional shape by examining Lawang Sewu as one of Central Java historical buildings. LTBI is defined as a teaching and learning trajectory that uses Hypothetical Learning Trajectory…