Sixty (35 girls) ninth graders were assessed on measures of algebraic reasoning and usage of visual and symbolic representations (with a prompt for visual use) to solve equations and inequalities. The study grouped visual representations into two categories: arithmetic-visual, which entailed the use of real-world objects to represent specific…

In Australia, it has been observed that there have been significant declines in the proportion of students studying senior sciences over the last two decades (Commonwealth of Australia 2017 & 2018; Steidtmann et.al, 2023). It has been suggested that one of the causes for this decline could be a link between students' literacy achievement and…

Creative thinking skills are crucial to current generations dealing with 21st-century challenges. However, studies on higher-order thinking skills remain limited. CTS can be easily empowered if students have good metacognitive abilities. This study analysed the effect of STEM-based online learning lesson plans on the CTS of students and…

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…

Robust understanding of geometry is important for students' future studies in mathematical sciences, many careers, and for understanding the world around them. Therefore, the aim of this study was to understand the geometric thinking levels of 9th graders in Ghana before they enter the Senior High School. This study used the van Hiele theory (Van…

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…

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

Long before the "Next Generation Science Standards" ("NGSS") were formalized, sensors and other probeware engaged students in science and engineering practices (Metcalf and Tinker 2004). A new generation of probeware based on modern Internet of Things (IoT) technologies is beginning to expand the ways that students can…

Frameworks that connect to the Common Core State Standards for English Language Arts and Literacy in Social Studies, such as the College, Career, and Civic Life (C3) Framework for Social Studies States Standards, highlight the need to engage in inquiry-based instruction (NCSS, 2013). Participation in such inquiry requires students to engage in…

In this paper, we examine the importance of building instructional units that incorporate metacognition intent processes that contribute to the development of geometric thinking. We show that the implementation of metacognition processes in the initial stages of constructing tailored instructional units will improve students' geometric ability.…

This article attempts to identify the kind of arguments that lower secondary school-level pupils use when they apply programming to solve a mathematical problem. By analyzing the data from one group of three pupils working together with Processing (Processing is a Java based tool primarily to learn programme visual effects supported and…

In secondary science education, students often do not feel engaged with the scientific concepts that are taught, which hinders conceptual learning. This lack of engagement can be overcome by fictional placemaking. Therefore, the purpose of our design-based research is to explore how the creation and use of fictional places lead to meaningful…

Problem-based learning (PBL) is a pedagogy where students gain knowledge about a subject through solving an ill-structured problem. Critical thinking skills (CTS) are the capacity to think about what to do or what to consider by an individual. This study sought to decide if using Problem-based Learning (PBL) improves the critical thinking skills…

When Katrina Lindo taught Integrated Mathematics 1 to ninth- and tenth-grade students, she encountered some students who appeared initially resistant to doing mathematics. Lindo wanted her students to see themselves as capable of making sense of mathematics. Lindo said that being a mathematician is "the process of taking what you know and…