Student focusing and noticing, which drive reasoning, are important but under researched aspects of student learning. Quadratic functions representations are perceptually and conceptually complex and thus, offer much for students to focus on and notice. Our study compared a teacher's goals for student focusing and noticing during quadratic…

21st-century skills can be applied to STEM education. The Merdeka Curriculum also has a passion to support teachers and schools in exploring and implementing STEM as a learning approach to improve student competence. The study aims to develop learning tools consisting of the syllabus, lesson plans, and student worksheets (SLS) that are valid and…

Backward transfer is when learning about a new topic influences an individual's prior ways of reasoning about a topic they previously learned about. This study looked at how quadratic functions instruction differentially influenced students' prior ways of reasoning about linear functions. Specifically, we compared students at three levels of…

As a multifaceted concept, the learning of angle concepts takes years to achieve and is beset with challenges. This paper explores how the processes of constructing and validating a learning progression in geometric reasoning can be used to generate targeted teaching advice to support the learning of angle concept. Data from 1090 Year 4 to Year 10…

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 virtual Chemistry classroom is a learning environment for students that are willing to study Chemistry, but have no opportunity to do so at school. The program launched in 2015, and currently, there are 22 students in the 11th grade and 80 students in the 10th grade. This study investigates and characterizes the virtual learning environment,…

This study uses the Mathematical Tasks Framework (Stein & Smith, 1998) to assess the cognitive demand of mathematical tasks implemented in four mathematics classrooms, and to investigate the role of technology in both low- and high-level cognitive demand tasks. The metaphor of using technology as an amplifier or reorganizer (Pea, 1987) is used…

The purpose of this research was to examine the effects of implementation of argumentation in a physics classroom on students' reasoning. This research is both quantitative and qualitative in nature. Experimental design was used for the study. For the quantitative aspect of the research, students' prior knowledge in the beginning of the…

This paper addresses components of a 3-year longitudinal study in which 9th and 10th grade students in Australia, Canada, and Zambia participated in data-handling programs through networked learning communities. Of interest here are the students' responses to a selection of "ends-in-view" problems, which formed the major part of the…

Equivalence of algebraic expressions is at the heart of transformational work in algebra. However, we know very little about students' understanding of equivalence. This study is part of a larger project that explores the use of CAS as a didactical tool for promoting both technical and conceptual growth in high school algebra with tasks specially…

The relationships between course work taken, educational needs and plans, high school attended, and PLAN test scores of high school sophomores were examined. The PLAN tests are higher-order thinking skills tests that are used in educational planning for individuals and in program and curriculum evaluation. The relationships between ethnicity of…

The purpose of this study was to investigate the relationships between students' conceptions of the nature of science and their reactions to evidence that challenged their beliefs about socio-scientific issues. The study used 248 students from 9th and 10th grade general science classes, 11th and 12th grade honors biology, honors science, and…

This study demonstrates that the validity and usefulness of mathematics achievement tests can be improved by defining psychologically meaningful subscores that yield differential relations with student, teacher, and school variables. The National Education Longitudinal Study of 1988 (NELS:88) 8th- and 10th-grade math tests were subjected to full…