eric.ed.gov har udgivet: A major challenge for practitioners in adult mathematics education is to achieve effective learning outcomes in the face of prevailing negative attitudes in their students, often present as a consequence of unsatisfactory early mathematics learning experience and flowing from the wellestablished connection between adult innumeracy and mathematics anxiety. Whether in nonspecialist mathematics teaching in diverse disciplines such as economics, nursing, and teacher education, or in adult numeracy teaching, the issues are essentially the same: traditional approaches to mathematics teaching, including constructivism, do not work for math-averse students. The need to find new ways to tackle old problems is further fuelled by the impact of the digital age, with mounting evidence that many aspects of accepted teaching and learning practices are being generally undermined by learners’ exposure to… Continue Reading →
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eric.ed.gov har udgivet: Research reports from the annual conference of the International Group for the Psychology of Mathematics Education include: “A Comparison of Children’s Learning in Two Interactive Computer Environments” (Edwards); “On Building a Self-Confidence in Mathematics” (Eisenberg); “Classroom Discourse and Mathematics Learning” (Ellerton); “Constructivism, the Psychology of Learning, and the Nature of Mathematics” (Ernest); “Cognition, Affect, Context in Numerical Activity among Adults” (Evans); “Teachers’ Pedagogical Knowledge: The Case of Functions” (Even; Markovits); “Cognitive Tendencies and Abstraction Processes in Algebra Learning” (Filloy-Yague); “On Some Obstacles in Understanding Mathematical Texts” (Furinghetti; Paola); “Toward a Conceptual-Representational Analysis of the Exponential Function” (Goldin; Herscovics); “Duality, Ambiguity and Flexibility in Successful Mathematical Thinking” (Gray; Tall); “Children’s Word Problems Matching Multiplication and Division Calculations” (Greer; Mc Cann); “Children’s Verbal Communication in Problem Solving Activities” (Grevsmuhl);… Continue Reading →
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eric.ed.gov har udgivet: Despite suggestions for incorporating students’ experiences into school math lessons, mathematics education seems to be the last bastion of formalism. This paper reports on a sociocultural study of the use of students’ personal experiences in early childhood elementary mathematics lessons. This study documents the use of students’ personal out-of-school experiences in classroom math and other subjects and investigates barriers that may prevent such linking. The following questions are addressed: (1) To what extent do teachers currently link school math and students’ personal out-of-school experiences? and (2) What influences the use of such linking? The study included observations of lessons in mathematics, language arts, and social studies in public, private, and homeschool settings. Despite recommendations in the literature, results showed that teachers rarely link students’ personal experiences to… Continue Reading →
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eric.ed.gov har udgivet: In this study, different factors affecting students’ differential equations (DEs) solving abilities were explored at pre university level. To explore main factors affecting students’ differential equations problem solving ability, articles for a 19-year period, from 1996 to 2015, were critically reviewed and analyzed. It was revealed that combination of four factors; “epistemological math problem solving beliefs, belief about usefulness of mathematics, self-regulated learning (SRL) strategies and goal orientations” have great potential to enhance differential equation problem ability. Based on these findings, a conceptual model was developed and presented in this paper to enhance differential equation problem solving ability. This study has provided several important implications for the curriculum designers and teachers to enhance conceptual understanding in differential equation problem solving, particularly in the developing countries.. Link til… Continue Reading →
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eric.ed.gov har udgivet: Beneath educational pedagogies lie philosophical assumptions about the nature of learning, knowledge, truth and morality. These different philosophies form the foundations of a variety of instructional programs in all academic disciplines. This paper addresses constructivism, a recent attempt to provide a philosophical pedagogy which affects classroom instruction, teacher training, curricululm development, and educational research. It specifically looks at constructivist theory as it relates to mathematics and science education. In so doing, the paper examines: (1) epistemology in the classroom; (2) epistemology in education research; (3) epistemology in mathematics and science (faith and skepticism); (4) Piaget’s constructivist epistemology; and (5) implications for education. A bibliography is included. (TW) Link til kilde
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eric.ed.gov har udgivet: Math modeling is currently at the focus of educational methodologists’ attention. However, little is known about the extent to which principles of the math modeling lead to methodological fallacies in educational research. The main purpose of this paper is to explore the nature and principles of math modeling and to examine its application in educational research according to transcendental realism theory. The conclusion of the article suggests some methodological fallacies in educational research. Finally, the implications of the fallacies in educational research are considered. Link til kilde
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