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Ackerman, Rakefet – Educational Psychology Review, 2023
Solving problems in educational settings, as in daily-life scenarios, involves constantly assessing one's own confidence in each considered solution. Metacognitive research has exposed cues that may bias confidence judgments (e.g., familiarity with question terms). Typically, metacognitive research methodologies require examining misleading cues…
Descriptors: Cues, Instructional Design, Bias, Problem Solving
Naiman, Aharon – International Journal for Technology in Mathematics Education, 2022
We explore the various Mathematica functions for performing Gaussian elimination, specifically when the linear system contains input parameters. On the one hand, we want the solution, perhaps heuristically found, to be in terms of the input parameters, and as general as possible. On the other hand, we must adhere to all necessary conditions and…
Descriptors: Mathematics, Evaluation Methods, Heuristics, Mathematics Instruction
Witzel, Bradley; Myers, Jonté A. – TEACHING Exceptional Children, 2023
Solving word problems is a large part of algebra coursework and statewide testing. However, solving secondary mathematics word problems is difficult for most students and extremely challenging for students with specific learning disabilities (SLD). In recent meta-analyses, two problem solving strategies emerged as effective for secondary students…
Descriptors: Problem Solving, Word Problems (Mathematics), Algebra, Heuristics
Larsen, Sean – For the Learning of Mathematics, 2018
The purpose of this article is to explore the use of didactical phenomenology as an instructional design heuristic. In doing so, I will articulate ways in which didactical phenomenology can be used in conjunction with the guided reinvention and emergent models heuristics to support instructional design. This discussion will be supported by…
Descriptors: Phenomenology, Instructional Design, Heuristics, Algebra
Hausberger, Thomas – Mathematics Teaching Research Journal, 2020
In the spirit of the networking of didactical theories, it is advocated in this presentation in favor of a mixed networking of philosophical theories, namely Husserlian phenomenology and hermeneutics, and didactical theories to produce a fertile interplay between philosophy and mathematics education. The cross-analysis of students' work on a…
Descriptors: Mathematics Education, Educational Philosophy, Networks, Phenomenology
Kempen, Leander; Biehler, Rolf – ZDM: The International Journal on Mathematics Education, 2019
In the study presented, as we report in this paper, we describe our theoretical and practical consideration to engage first-year pre-service teachers in proving activities in the context of a transition-to-proof course. We investigated how students argued to verify a claim of elementary number theory on entering university and compared the results…
Descriptors: College Freshmen, Preservice Teachers, Mathematics Skills, Mathematical Logic
Rao, B. Madhu; Xanthopoulos, Petros; Zheng, Qipeng Phil – INFORMS Transactions on Education, 2020
NP-complete problems such as the traveling salesman problem (TSP) play a prominent role in most advanced undergrad/graduate courses in discrete optimization modeling. Teaching such an important topic from a purely mathematical perspective without discussing specific applications may result in reduced student interest and motivation. The DeLand…
Descriptors: Manufacturing Industry, Art Materials, Case Method (Teaching Technique), Scheduling
Cárcamo Bahamonde, Andrea; Gómez Urgelles, Joan; Fortuny Aymemí, Josep – Journal of Technology and Science Education, 2016
The modern dynamic world requires that basic science courses for engineering, including linear algebra, emphasise the development of mathematical abilities primarily associated with modelling and interpreting, which are not exclusively calculus abilities. Considering this, an instructional design was created based on mathematical modelling and…
Descriptors: Mathematical Models, Algebra, Mathematical Concepts, Engineering Education
Alves, Francisco Regis Vieira – Acta Didactica Napocensia, 2016
Admittedly, the study of Complex Analysis (CA) requires of the student considerable mental effort characterized by the mobilization of a related thought to the complex mathematical concepts. Thus, with the aid of the dynamic system Geogebra, we discuss in this paper a particular concept in CA. In fact, the notion of winding number v[f(gamma),P] =…
Descriptors: Mathematical Concepts, Concept Teaching, Geometric Concepts, Geometry
Cárcamo Bahamonde, Andrea Dorila; Fortuny Aymemí, Josep Maria; Gómez i Urgellés, Joan Vicenç – International Journal of Mathematical Education in Science and Technology, 2017
In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…
Descriptors: Foreign Countries, College Freshmen, Engineering Education, Mathematical Models
Aguilar-Magallón, Daniel Aurelio; Fernández, Willliam Enrique Poveda – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
This article reports and analyzes different types of problems that nine students in a Master's Program in Mathematics Education posed during a course on problem solving. What opportunities (affordances) can a dynamic geometry system (GeoGebra) offer to allow in-service and in-training teachers to formulate and solve problems, and what type of…
Descriptors: Educational Technology, Technology Uses in Education, Problem Solving, Masters Programs
Abrahamson, Dor; Kapur, Manu – Instructional Science: An International Journal of the Learning Sciences, 2018
Whereas some educational designers believe that students should learn new concepts through explorative problem solving within dedicated environments that constrain key parameters of their search and then support their progressive appropriation of empowering disciplinary forms, others are critical of the ultimate efficacy of this discovery-based…
Descriptors: Discovery Learning, Educational Research, Instructional Design, Educational Philosophy
Chase, Kiera; Abrahamson, Dor – Instructional Science: An International Journal of the Learning Sciences, 2018
Forty 4th and 9th grade students participated individually in tutorial interviews centered on a problem-solving activity designed for learning basic algebra mechanics through diagrammatic modeling of an engaging narrative about a buccaneering giant burying and unearthing her treasure on a desert island. Participants were randomly assigned to…
Descriptors: Discovery Learning, Grade 4, Grade 9, Problem Solving
Thinking Heuristically about Student Growth in Austin Independent School District. Publication 17.33
Hutchins, Shaun D.; DeBaylo, Paige Hartman; Williams, Holly – Online Submission, 2018
This report presents a question-driven exploration of growth and achievement data using SAS EVAAS reports. The purpose of this exploration was to bring additional data, information, and ways of thinking about student growth to ongoing district conversations about the measurement of campus-level student growth.
Descriptors: School Districts, Achievement Gains, Achievement Tests, High Schools
Calucag, Lina S. – Journal of Education and Practice, 2016
This is an experimental study, made used of the non-randomized experimental and control groups, pretest-posttest designs. The experimental and control groups were two separate intact classes in Algebra. For a period of twelve sessions, the experimental group was subjected to the scientific heuristic method, but the control group instead was given…
Descriptors: Heuristics, Mathematics Instruction, Algebra, Experimental Groups
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