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Gembo Tshering – Mathematics Teaching Research Journal, 2024
Algebra is critical in shaping future mathematics success and is integral to the K-12 curriculum. Despite its inclusion, a common challenge arises as students' progress to higher grades without a solid foundation, resulting in challenging learning experiences. This action research study focuses on the algebraic learning experience of a Grade 7…
Descriptors: Grade 7, Intervention, Algebra, Mathematics Instruction
Jahabar, Jahangeer Mohamed; Toh, Tin Lam; Tay, Eng Guan; Tong, Cherng Luen – Mathematics Education Research Group of Australasia, 2023
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…
Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Curriculum, Teaching Methods
Marian Small – National Council of Teachers of Mathematics, 2025
This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…
Descriptors: Mathematical Concepts, Teaching Methods, Mathematics Instruction, Kindergarten
Luecha Ladachart; Visit Radchanet; Wannakorn Phornprasert; Wilawan Phothong – Pedagogies: An International Journal, 2024
Design-based learning (DBL), a pedagogical approach to integrating science, technology, engineering, and mathematics (STEM) education, has been internationally promoted in K-12 curricula. Despite DBL's variations, research has indicated it can facilitate students' content learning. However, it is less clear whether DBL can foster students' STEM…
Descriptors: Design, Concept Formation, Learning Processes, Teaching Methods
Brown, Patrick – Science and Children, 2023
Science and engineering practices (SEPs) and crosscutting concepts (CCs) constitute a significant part of "A Framework for K-12 Science Education" (NRC 2012). As teachers, the role of the authors is to highlight the pivotal role that both scientific knowledge and the practices used to generate knowledge play in learning. This article…
Descriptors: STEM Education, Teaching Methods, Scientific Research, Concept Formation
White, Isabel; Foster, Michael; Lobato, Joanne – Mathematics Teacher: Learning and Teaching PK-12, 2023
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…
Descriptors: Grade 9, Algebra, Mathematics Instruction, Video Technology
Lois George; Chronoula Voutsina – Mathematics Education Research Journal, 2024
The paper presents findings from a study that examined, through the lens of the Image Having layer of the Pirie-Kieren model, the qualitative characteristics of the images that different children formed when engaging with eight, novel partitive quotient tasks. The Image Having layer is the first point of abstraction within the Pirie-Kieren model.…
Descriptors: Teaching Methods, Mathematics Instruction, Mathematical Concepts, Concept Formation
Nadya Syifa Utami; Sufyani Prabawanto; Didi Suryadi – Journal on Mathematics Education, 2024
The conception of functions, defined as the relationship between magnitudes or sets of ordered pairs, varies among students depending on the contextualization of the concept within the curriculum, notably in school textbooks. This investigation endeavors to scrutinize the approach taken by Indonesian textbooks in introducing the function concept…
Descriptors: Foreign Countries, Mathematics Instruction, Grade 8, Teaching Methods
Martin A. Simon – Mathematics Teacher: Learning and Teaching PK-12, 2025
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"…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Teaching Methods
Emre Savas; Aysel Kocakulah – Science Insights Education Frontiers, 2025
This study aims to investigate the effect of the teaching model developed for hot conceptual change on middle school 7th-grade students' understanding of the Nature of Science (NOS) aspects. In this qualitative and exploratory study, activities were carried out with 24 students of two classes in a village school in the South Marmara region using a…
Descriptors: Scientific Principles, Scientific Concepts, Concept Formation, Grade 7
Tamar Fuhrmann; Leah Rosenbaum; Aditi Wagh; Adelmo Eloy; Jacob Wolf; Paulo Blikstein; Michelle Wilkerson – Science Education, 2025
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…
Descriptors: Mechanics (Physics), Thinking Skills, Scientific Concepts, Concept Formation
Sarah Lord – ProQuest LLC, 2023
The algorithm for fraction multiplication is relatively easy to memorize and implement with accuracy. The simplicity of the algorithm masks the conceptual complexity involved in making sense of what fraction multiplication means in quantitative situations. One important interpretation of fraction multiplication involves fraction composition,…
Descriptors: Fractions, Multiplication, Mathematical Concepts, Learning Processes
Nieminen, Pasi; Hähkiöniemi, Markus; Viiri, Jouni – International Journal of Science Education, 2021
This case study examined teachers' on-the-fly formative assessment conversations, that is, how teachers collect information from students' thinking and use that information to support their learning during teacher-student interactions. Previous studies have typically analysed whole-class discussions on the level of speaking turns, and have…
Descriptors: Physics, Science Instruction, Formative Evaluation, Grade 7
Yi Zou; Xinyu Xue; Lizhen Jin; Xiao Huang; Yanbing Li – Physical Review Physics Education Research, 2024
Developing a deeper understanding of scientific concepts is one of the primary goals of science education. To improve students' conceptual understanding, it is necessary to explore the major characteristics of their learning process. Informed by previous work on conceptual understanding, this study focuses on the concept of evaporation, exploring…
Descriptors: Concept Formation, Scientific Concepts, Physics, Science Instruction
Maria Nielsen Stewart; Noah Brown; Amber Candela; Samuel Otten; Zandra de Araujo – Mathematics Teacher: Learning and Teaching PK-12, 2025
The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…
Descriptors: Teaching Methods, Mathematics Instruction, Persuasive Discourse, Task Analysis