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Xiaojun Ma; Yan Ping Xin – Journal of Special Education, 2024
The National Council of Teachers of Mathematics (NCTM) emphasizes the teaching of "Big Ideas" in mathematics. This study focuses on the part-part-whole (PPW) relationship as a crucial aspect of word problem solving involving addition and subtraction. This study, conducted in the United States, evaluated the effects of conceptual…
Descriptors: Children, Intelligence Tests, Grade 2, Autism Spectrum Disorders
Julius Meier; Peter Hesse; Stephan Abele; Alexander Renkl; Inga Glogger-Frey – Instructional Science: An International Journal of the Learning Sciences, 2024
Self-explanation prompts in example-based learning are usually directed backwards: Learners are required to self-explain problem-solving steps just presented ("retrospective" prompts). However, it might also help to self-explain upcoming steps ("anticipatory" prompts). The effects of the prompt type may differ for learners with…
Descriptors: Problem Based Learning, Problem Solving, Prompting, Models
Ümit Karabiyik – Problems of Education in the 21st Century, 2025
Mathematical problem-posing and modeling are essential skills in developing students' analytical thinking and problem-solving abilities. This study aims to examine correlation between 9th-grade students' problem-posing and mathematical modeling skills within the learning domain of numbers and algebra. Additionally, it evaluates students'…
Descriptors: Secondary School Students, Mathematical Concepts, Models, STEM Education
Xin, Yan Ping; Kim, Soo Jung; Lei, Qingli; Liu, Bing Yu; Wei, Shuang; Kastberg, Signe E.; Chen, Yingjie Victor – Journal of Special Education, 2023
The U.S. Nation's Report Card reveals that lower performing students exhibited greater achievement decline than their average/high performing peers based on 2022 long-term trend mathematics assessments for age 9 students. Technology, including computer-assisted instruction, plays an important role in today's dynamic learning environments.…
Descriptors: Problem Solving, Models, Teaching Methods, Mathematics Achievement
Thiyaporn Kantathanawat; Anyamanee Ussarn; Mai Charoentham; Paitoon Pimdee – Educational Process: International Journal, 2025
Background/purpose: The increasing integration of digital technology in education underscores the need for instructional models that support personalized, skill-based, and problem-solving focused learning. While traditional pedagogies often fail to address these needs comprehensively, this study proposes that the Mastery Adaptive Problem-Solving…
Descriptors: Educational Technology, Technology Uses in Education, Problem Solving, Mastery Learning
Suyato; Yayuk Hidayah; Lutfia Septiningrum; Iqbal Arpannudin – Journal of Education and e-Learning Research, 2024
The study examines the application of the collaborative learning model to improve 21st-century civic skills. The 21st century presents a number of unique challenges in the world of education. Rapid changes in technology, economics, and politics have placed new demands on individual learning and development. One of the key aspects of preparing…
Descriptors: Cooperative Learning, Models, 21st Century Skills, Civics
A Didactic Model to Support the Use of Senses and Sensors in Environmental Education Problem Solving
Silva, Maria João – Australian Journal of Environmental Education, 2023
Problem solving, and specifically the goal of developing problem-solving competences, is a significant dimension of environmental education. Moreover, human senses and electronic sensors have been recognized as important tools in authentic problem-based learning. The purpose of this paper is to present a model to support teachers in creating…
Descriptors: Environmental Education, Problem Solving, Models, Case Studies
Joalise Janse van Rensburg – Discover Education, 2024
The ability to think critically is an important and valuable skill that students should develop to successfully solve problems. The process of writing requires critical thinking (CT), and the subsequent piece of text can be viewed as a product of CT. One of the strategies educators may use to develop CT is modelling. Given ChatGPT's ability to…
Descriptors: Critical Thinking, Writing Instruction, Computer Software, Artificial Intelligence
Susanti, Mathilda; Suyanto, Suyanto; Jailani, Jailani; Retnawati, Heri – Journal of Education and Learning (EduLearn), 2023
Problem-based learning (PBL) has been widely applied as an alternative to improve learning outcomes, but it is still little studied in the context of the probability theory course. This study described how implementing the PBL model improves students' problem-solving and critical thinking skills in probability theory course and evaluates its…
Descriptors: Problem Based Learning, Problem Solving, Critical Thinking, Thinking Skills
Linda Oktaviani; Ullu Yandi Aulia; Mukhamad Murdiono; Suharno Suharno – Journal of Education and Learning (EduLearn), 2024
This study aims to provide a comprehensive analysis of the implementation of Pancasila learning with the goal of improving critical thinking skills through the application of the six thinking hats model. The research adopts a descriptive approach utilizing qualitative methods. The study was conducted at the Faculty of Engineering, Universitas…
Descriptors: Critical Thinking, Thinking Skills, Skill Development, Active Learning
Camille Lund – Mathematics Teacher: Learning and Teaching PK-12, 2024
Every educator knows the sinking feeling of a lesson gone wrong. As teachers look around the room and realize that many of their students are just not getting it, they often feel like failures. However, the struggle students experience as they persevere through high-quality challenging tasks is not a sign of failure, but rather a key aspect of…
Descriptors: Mathematics Instruction, Difficulty Level, Mathematics Skills, Teaching Methods
Soneira, Carlos; González-Calero, José Antonio; Arnau, David – Educational Studies in Mathematics, 2023
The use of the algebraic method for solving word problems is a challenging topic for secondary school students. Students' difficulties are usually associated with extracting the problem's network of relationships between quantities and with formalizing these relationships into algebraic language in a problem model. Both sources can coexist and…
Descriptors: Algebra, Word Problems (Mathematics), Problem Solving, Mathematics Instruction
Jinfa Cai; Benjamin Rott – ZDM: Mathematics Education, 2024
Problem posing engages students in generating new problems based on given situations (including mathematical expressions or diagrams) or changing (i.e., reformulating) existing problems. Problem posing has been at the forefront of discussion over the past few decades. One of the important topics studied is the process of problem posing as…
Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Models
Palmer, Russ; Choi, Ikseon – Educational Technology Research and Development, 2023
The goal of this article is to propose a framework for understanding the nature of "how people construct problems" by interacting with situations and subsequently to offer implications for instructional design and future research. We propose that people must interactively frame the components of a situation in order to establish the…
Descriptors: Problem Solving, Epistemology, Models, Cognitive Processes
María Burgos; Nicolás Tizón-Escamilla; Jorhan Chaverri – Mathematics Education Research Journal, 2025
The invention of problems is a fundamental competence that enhances the didactic-mathematical knowledge of mathematics teachers and therefore should be an objective in teacher training plans. In this paper, we revise different proposals for categorizing problem-creation activities and propose a theoretical model for problem posing that, based on…
Descriptors: Mathematics Instruction, Problem Solving, Models, Preservice Teachers