Mathematical concepts have been a consensus goal for decades, yet there is little consensus on what is meant by the terms "mathematical concept" and "mathematical understanding." This article attempts to discuss these terms in a way that can be of practical use to teachers. Greater clarity on "mathematical concept"…

When learning about scientific phenomena, students are expected to "mechanistically" explain how underlying interactions produce the observable phenomenon and "conceptually" connect the observed phenomenon to canonical scientific knowledge. This paper investigates how the integration of the complementary processes of designing…

Circulatory system is a challenging subject for middle school students to learn and understand conceptual relationships. To address these challenges, this study developed plugged (computational thinking activities using computer) and unplugged (computational thinking activities without using computer) teaching modules that integrated computational…

How can students achieve an understanding of multiplication that allows them to go beyond recall to explain their thinking? Author and mathematics education professor Juli Dixon introduces a program that teachers can seamlessly integrate into existing mathematics instruction. Learn six tactics to help you shift from an anxiety-producing,…

This study investigates sixth-grade Turkish students' pattern-generalization approaches among arithmetical generalization, algebraic generalization, and naïve induction. A qualitative case study design was employed. The data was collected from four sixth-grade students through the Pattern Questionnaire (PQ) and individual interviews based on the…

Employing Bernstein's (1990, 2000) concepts of recontextualisation and pedagogic discourse, this case study aims to identify types of discourse and forms of knowledge in primary history lessons, and to explain the observations through teachers' thinking. Two Finnish primary teachers were observed for nine or ten consecutive history lessons and…

This quasi-experimental study aims to compare the effects of using combinations of written text, animation and narration in multimedia courseware. 114 sixth grade students assigned in three conditions were participated in the study. Three versions of the courseware with combinations of animation, text and narration were developed taking modality…

Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. For teachers, this knowledge can be used to help students develop a better understanding of mathematics by making visible the central ideas, and connection across topics and across levels. For students, this knowledge can…

The field of science education has put effort into providing opportunities for students to position themselves as epistemic agents pursuing the goal of making sense of natural phenomena. However, students often struggle in adapting scientific practices to achieve the sense-making goal. In this position paper, we conceptualise students'…

Common divisor is one of the concepts that started to be learned in secondary school and forms the basis of many concepts. But students generally have difficulty in making sense of it. The purpose of this study is to investigate concept formation processes of common divisor through a case study on seven sixth grade students. To do this, we…

This paper describes a pilot study that explores students learning how to program via a multi-disciplinary approach. The study participants were eleven 6th grade students who learned programming fundamentals via music activities in a Scratch 3.0 environment. These activities included the programming of familiar melodies and the development of…

To improve understanding of identities and inverses, and to provide a stronger foundation for future mathematics, Sandra Miles designed a two-part lesson that makes the relationship between identities and inverses explicit. This article illustrates Miles' teaching of the first part of the lesson, focused on addition and subtraction, and then gives…

Sixth-grade science students at Gauger-Cobbs Middle School in Newark, DE, had misconceptions about how heat energy moves in the hydrosphere through conduction, convection, and radiation. As a result, students struggled to develop and connect ideas that correctly and completely explained heat transfer in the hydrosphere at the end of the lesson…

The current study assessed whether adding worked examples with self-explanation prompts focused on making connections between mathematical principles, procedures, and concepts of rational numbers to a curriculum focused on invented strategies improves pre-algebra students' fraction number line acuity, rational number concepts and procedures.…

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…