Making sense of algebraic expressions in context is multifaceted and extends beyond representing real-world situations using algebra. As part of Project MathTalk, the authors created videos that feature a pair of Grade 9 algebra 1 students coming to understand algebraic expressions in context. The students found three aspects of making sense of…

Misconceptions hinder and challenge the learning of physics and science subjects in general. This study aimed to identify misconceptions in physics topics, namely gravity and force, and to overcome them through timely and appropriate interventions among ninth-grade students at Khuruthang Middle Secondary School in Punakha district, Bhutan. This…

This study contributes to the call for influencing practice by increasing attention to how learning environments can be designed to support learning in statistical inference. We report on a design experiment in secondary school (students 14-16 years old), that resulted in a set of lessons with the learning goal of teaching students how to apply…

Urban school districts have seen low scores on NWEA Map math scores (Education Recovery Scoreboard, 2024). To foster and promote urban youths' capabilities to learn mathematics, a new method to teach, enhance, and remediate understanding of fractions was developed, Fractions and Signed Numbers Workshop (FracSi). It utilizes the approach of an…

This paper discusses two "GeoGebra" applets, "Radical" and "Parabola," that are designed to strengthen the conceptual understanding of specific topics in algebra. The design and pedagogical basis of the applets are presented. The integration of the applets in teaching Grade 9 mathematics in a partner high school in…

This study describes students' learning obstacles in solving early algebra problems requiring functional thinking ability. To reach this aim, qualitative research was conducted in this study. Participants of this study were 39 ninth graders and a mathematics teacher at one of the lower secondary schools in Bandung, Indonesia. The data were…

A learning trajectory as a sequence of mathematical activities that could facilitate the growth of students' understanding of learning goals. This research aimed to produce an instructional sequence to learn the concepts of translation and reflection and to investigate how students develop their understanding informally using a South Sumatra dance…

Our research with Grade 9 learners at a school in Soweto was conducted to explore learners' understanding of fundamental fraction concepts used in applications required at that level of schooling. The study was based on the theory of constructivism in a bid to understand whether learners' transition from whole numbers to rational numbers enabled…

Teaching strategies play a vital role in improving learners' performance. This study investigated the effect of Guided Discovery Instructional Strategy (GDIS) on Grade nine learners' performance in chemical reactions and determined the effect of GDIS on gender. A quasi-experimental design with a sample comprising 75 grade nine learners was…

A Concept-Based Curriculum is designed to help students uncover important, transferable understandings about what it means to be a capable reader, writer, speaker, viewer, listener, and thinker. But, too often, a well-designed, conceptual curriculum does not translate into conceptual teaching. "Concept Based Literacy Lessons" helps…

Equivalence is a concept that comes up across the entire K-12 grade span and in many different areas of mathematics. Students who are bureaucratically designated as "English Learners" can explore equivalence across their K-12 academic careers while developing language to connect ideas. Drawing on what is known generally from theory and…

The purpose of this systematic review was to examine the effectiveness of proportional reasoning interventions for students with learning disabilities (LD) or mathematics difficulty (MD). We evaluated fifth to ninth grade interventions on proportional reasoning content, instructional features, and disability and difficulty identification. The nine…

This study examines the condition on whether or not there is an advantage on integrating manipulatives in the instruction against traditional teaching involving concept building and students' performance in geometry. To well achieve this objective, 48 Grade-9 students from a remote public school and island in the Philippines were invited and were…

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.…

The study aims to analyze student responses to chemistry constructed response items to obtain detailed information on science NAEA (National Assessment of Educational Achievement) in South Korea and to draw suggestions for enhancing curriculum, teaching, and learning. For this purpose, we analyzed 7444 answers that could be generalized as 1.29% of…