eric.ed.gov har udgivet: This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is “Mathematics: Essential research, essential practice.” The theme draws attention to the importance of developing and maintaining links between research and practice and ties in with the joint day of presentations with the 21st biennial conference of the Australian Association of Mathematics Teachers (AAMT). This special feature highlights the benefits of collaboration between researchers, practicing classroom teachers, and curriculum developers. Volume 1 contains the following papers: (1) The Beginnings of MERGA (Ken Clements); (2) Teaching and Learning by Example: The Annual Clements/Foyster Lecture (Helen L. Chick); (3) Introducing Students to Data Representation and Statistics (Richard Lehrer); (4) Studies in the Zone… Continue Reading →
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eric.ed.gov har udgivet: The intent of this qualitative study was to examine pre-service teachers’ growing awareness of the role dispositions and autonomy play in the classroom and the implications these constructs have for teaching and learning. Teacher candidates’ written reflections and focus group statements revealed three robust emergent themes: engagement, empowerment, and meaning making. When taking a wide lens view, these robust emergent themes nurtured certain dispositions, autonomy, and teaching efficacy. Teaching strategies such as the project approach (adult-oriented and with children) and the construction of math games were considered valuable assignments that strengthened a variety of dispositions by providing on-going opportunities for teacher candidates to engage in experiences that promoted autonomous thinking and actions during their preparation program. Teaching efficacy emerged as a related construct and became an integral… Continue Reading →
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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: Children’s learning of early number bonds is a significant issue in South African schools because evidence shows that flexible and efficient (fluent and reasoned) knowledge of number bonds to 20 correlates with success at the end of primary schooling, yet the evidence is that many South African students are over-reliant on inefficient counting methods. This paper focuses on why and how treating early number bonds as scientific concepts may be the key to raising learners’ attainment in these. The paper argues that teacher mediation is crucial and that mediation for learning scientific concepts has to be meaningful, relational and transcendent. This theoretical position is illustrated with examples from a dynamic assessment interview with a Grade 2 learner carried out as part of the Wits Maths Connect —… 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: With the development of personalized learning in technological platforms, more data and information are given to instructors on what contents are appropriate for a learner’s next step, with an aim of helping them support their students in navigating an optimized learning path that can promote an enhanced learning outcome. In this study, we collected data from an online learning platform, Learnta® TAD , which allows teachers to distribute tasks based on system recommendations. The recommendations are directed by the system’s knowledge graph algorithm, determining whether the student is ready to learn the task (i.e. the task is within the student’s Zone of Proximal Development), whether the student is not yet ready to learn the task, or whether the student has already mastered the task. We used the… Continue Reading →
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eric.ed.gov har udgivet: In the Adult Multiple Intelligences (AMI) study, 10 teachers of adults from the northeastern region of the United States explored for 18 months the ways that multiple intelligences (MI) theory could support instruction and assessment in various adult learning contexts. The results of this research were published in a book by Julie Viens called MI Grows Up. Two themes identified in the book, MI reflections and MI-inspired instruction, relate specifically to math instruction for adult learners. MI reflections focuses on ways to teach about MI theory and how to use it as a tool for student self-reflection and self-understanding. By creating AMI profiles for adult learners in an adult secondary education class, the researcher had success helping the learners identify the intelligences of problems or questions and… 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: Helping pre-service teachers to feel competent and courageous about the mathematics they will find themselves teaching as elementary school teachers is a critical component of any math methods course. This paper addresses this aim by highlighting a process that involves pre-service teachers in creating original mathematics literature books. This process assumes a social practice theory of learning based on a relationship among one’s own thinking, the activity, and the thinking of other interested persons (Rogers, 1974). My stance is that creating such books offers ways for pre-service teachers to gain new mathematical understandings, connect the math they will be teaching to other life situations, identify pedagogical practices that support student thinking, integrate artistry into the teaching of content, and understand more deeply the multidisciplinary nature of mathematics.… Continue Reading →
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eric.ed.gov har udgivet: This paper describes application of innovative practice and procedures in relationship to recognized principles and theory of adult education used in college math instruction. Adult learning principles provide the theoretical constructs and foundation of the practice supporting a learner-centered approach to learning. The purpose was to explore the needs of learners and the learning contexts that would help them achieve higher dimensions of critical thinking and cognitive development. Based on Knowles’ six assumptions of andragogy, curriculum was designed to provide college math students meaningful learning experiences, critical thinking skills, and application within the context of the classroom. Creativity and hands-on learning proved to be beneficial not only to tactile and kinesthetic learners but to others in the classrooms as well. Additionally, math anxiety is addressed and how… Continue Reading →
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