math problem solving articles

But there are many ways to solve math problems; there's never just one way. The strategy we developed asks that teachers compare two ways for solving a problem, side by side, and that they follow an instructional routine to lead a discussion to help students understand the difference between the two methods.

The skills the problem solvers developed in math transferred, and these students flourished. We use math to teach problem solving because it is the most fundamental logical discipline. Not only is it the foundation upon which sciences are built, it is the clearest way to learn and understand how to develop a rigorous logical argument.

Problem solving is a central competence in mathematics, but rote learning and a focus on recalling algorithms often still dominate the teaching and learning of mathematics (Mullis et al., Citation 2012). Given that textbooks and the tasks in them constitute an influential artefact used in the teaching and learning of mathematics, it is ...

Therefore, high-quality assessment of problem solving in public tests and assessments1 is essential in order to ensure the effective learning and teaching of problem solving throughout primary and secondary education. Although the focus here is on the assessment of problem solving in mathematics, many of the ideas will be directly transferable ...

Mathematical problem-solving constitutes an important area of mathematics instruction, and there is a need for research on instructional approaches supporting student learning in this area. This study aims to contribute to previous research by studying the effects of an instructional approach of cooperative learning on students' mathematical problem-solving in heterogeneous classrooms in ...

Learning motivation is usually considered to be conducive to problem solving as it influences the initiation, direction, and intensity of cognitive processing (Baars et al., 2017 ). The motivation to deal with problem-solving tasks can come from the learners themselves or be triggered by task design.

July 28, 2016. Solving a hairy math problem might send a shudder of exultation along your spinal cord. But scientists have historically struggled to deconstruct the exact mental alchemy that ...

1.3 Digital Technologies and Mathematical Problem Solving—Luz Manuel Santos-Trigo. Mathematical problem solving is a field of research that focuses on analysing the extent to which problem solving activities play a crucial role in learners' understanding and use of mathematical knowledge.

PROBLEM-SOLVING STRATEGIES AND TACTICS. While the importance of prior mathematics content knowledge for problem solving is well established (e.g. Sweller, 1988), how students can be taught to draw on this knowledge effectively, and mobilize it in novel contexts, remains unclear (e.g. Polya, 1957; Schoenfeld, 2013).Without access to teaching techniques that do this, students' mathematical ...

The benefits of a real-world problem-solving approach can stick with students for years, Boaler said. For a study published in 2017 in the Journal for Research in Mathematics Education , she ...

The aim of the present paper is to present and discuss the recent progress of the. problem solving process in mathematics education. 1. Introduction. Problem - Solving (P-S) is a principal ...

The purpose of this research was to investigate students’ problem solving strategies (Posamentier & Krulik, 1998) in a problem solving- mathematics classroom, using an open approach as a teaching approach and composed of four phases: 1) posing open-ended problems, 2) students’ self learning, 3) whole class discussion, and 4 ...

Teaching and learning mathematics through problem solving supports learners' development of deep and conceptual understandings (Inoue et al., 2019 ), and is regarded as an effective way of catering for diversity (Hunter et al., 2018 ). While the importance and challenge of mathematical problem solving in school classrooms is not questioned ...

The foci of the research are (i) problem solving involving arithmetic and mathematical representations, (ii) mathematics teaching and learning based on word problems, (iii) cognition of pupils and ...

Math Problem Solving Articles. Search form. Search . Math Solving Articles to Help with Solving Problems in Math and Undertanding Math Connections. These articles are authored by distinguished educators from around the world. 27 Tips for Parent Conferences.

To solve a word problem, students can pick out the numbers and decide on an operation.". But through the use of mathematical modeling, students are plucked out of the hypothetical realm and plunged into the complexities of reality—presented with opportunities to help solve real-world problems with many variables by generating questions ...

The Role of Problem Solving in Teaching Mathematics as a Process. Problem solving is an important component of mathematics education because it is the single vehicle which seems to be able to achieve at school level all three of the values of mathematics listed at the outset of this article: functional, logical and aesthetic. ...

Research programs in mathematical problem solving have evolved with the development and availability of computational tools. I review and discuss research programs that have influenced and shaped the development of mathematical education in Mexico and elsewhere. An overarching principle that distinguishes the problem solving approach to develop and learn mathematics is to conceptualize the ...

1. Introduction. Problem-solving skills are a complex set of cognitive, behavioral, and attitudinal components that are situational and dependent on thorough knowledge and experience [1,2].Problem-solving skills are acquired over time and are the most widely applicable cognitive tool [].Problem-solving skills are particularly important in mathematics education [3,4].

1. Link problem-solving to reading. When we can remind students that they already have many comprehension skills and strategies they can easily use in math problem-solving, it can ease the anxiety surrounding the math problem. For example, providing them with strategies to practice, such as visualizing, acting out the problem with math tools ...

This article forms part of our Problem-solving Classroom Feature, exploring how to create a space in which mathematical problem solving can flourish. At NRICH, we believe that there are four main aspects to consider: • Highlighting key problem-solving skills. • Examining the teacher's role. • Encouraging a productive disposition.

A Problem Solving Strategy: Find the Math, Remove the Context. Sometimes the problem has a lot of details in it that are unimportant, or at least unimportant for getting started. The goal is to find the underlying math problem, then come back to the original question and see if you can solve it using the math.

The problem-solving instrument used in this research is a problem-solving test on the absolute value equation material. It uses interviews with students who get the highest and lowest scores. This study shows that problem-solving in understanding the problem is good, with a percentage of 79%. The problem-solving step is good, with a percentage ...

Large language models (LLMs) have shown excellent mastering of human language, but still struggle in real-world applications that require mathematical problem-solving. While many strategies and datasets to enhance LLMs' mathematics are developed, it remains a challenge to simultaneously maintain and improve both language and mathematical capabilities in deployed LLM systems.In this work, we ...

To test the applicability and efficiencies of our methods in solving real-world problems, we utilized the proposed methods to solve optimal control and image restoration problems. </abstract> ... Inertial subgradient extragradient with projection method for solving variational inequality and fixed point problems, AIMS Mathematics, 8 (2023 ...

Mathematical literacy is a keystone of contemporary mathematics education research. We collectively, thoroughly explore this set of literacy practices from the perspectives of mathematical writing and mathematical discussion. Mathematical literacy practices, of course, include a third component—reading—which takes a number of forms. This document explores the mathematical reading processes ...

APL's unique capabilities make it an excellent tool for solving complex problems in discrete mathematics. This section presents case studies demonstrating APL's effectiveness. Case Study 1: Graph Theory. Graph theory problems, such as finding the shortest path or network flow, can be efficiently solved using APL.