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On the mathematical description of quantized fields [PDF]
Communications in Mathematical Physics, 1970 We start from Haag's proposal to describe quantum fields at a point, corresponding to the heuristic description by means of their matrix elements (A(x)Φ‖Ψ) between vectors of a dense linear manifoldD of the Hilbert space. We particularize this idea, so that the sesquilinear functional that describes the field at a point may be considered as an element ...
R. Ascoli, G. Epifanio, Antonio Restivo
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The mathematics of quantum fields
Advances in Mathematics, 1975 Publisher Summary This chapter discusses the mathematics of quantum fields. Quantum field theory is the only satisfactory framework known that unites the principles of quantum mechanics with special relativity. Its goal is to describe elementary particles.
James Glimm
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Field Dependency and Performance in Mathematics [PDF]
European Journal of Educational Research, 2014 <p style="text-align:justify">Mathematics is an important school subject but one which often poses problems for learners. It has been found that learners do not possess the cognitive capacity to handle understanding procedures, representations, concepts, and applications at the same time.
Onyebuchi Onwumere, Norman Reid
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International Journal of Learning and Development, 2013 The Enrichment Center for Gifted and Highly Talented Children is based at the Gordon Academic College of Education in Haifa and attracts fourth to sixth grade children from 30 different schools. The center offers a wide variety of workshops including a workshop on Mathematical thought.
Cahit Shacham, Ilana Levenberg
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Reflections on the Field of Mathematics Education Introduction
Journal of Mathematics Education at Teachers College, 2022 Reflections on the Field of Mathematics ...
Journal Editor
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Special issue on mathematics in early childhood education
Nordisk Barnehageforskning, 2023 "Mathematics is an important part of children’s daily life. The value of mathematics for young children is reflected in curricula for early childhood in the Nordic countries and consequently, mathematics education courses are included in teacher ...
Tamsin Meaney +2 more
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Cogent Education, 2023 This paper sought to explore the Knowledge of Algebra for Teaching and the algebra difficulties of In-field and Out-of-field Junior High School mathematics teachers using the expanded KAT framework.
Williams Osei, Douglas Darko Agyei
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Obtaining Information about Nature with Finite Mathematics
Proceedings, 2021 The main goal of this presentation is to explain that classical mathematics is a special degenerate case of finite mathematics in the formal limit p→∞, where p is the characteristic of the ring or field in finite mathematics.
Felix Lev
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Reflecting on Action: Implications from the Child Mathematics Inquiry Portfolio
Journal of Mathematics Education at Teachers College, 2019 This article examines how the Child Mathematics Inquiry Portfolio (CMIP), a semester-long field experience project attached to an elementary mathematics methods course, can impact preservice teachers’ understanding about teaching and learning mathematics
Joan Gujarati
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The knowledge produced through student drawings
Frontiers in Psychology, 2022 Drawings have been extensively used as a research method to gather data from research participants including school students regarding their perceptions of mathematics and its teaching and learning. What is valued in drawing-based research in mathematics
Vesife Hatisaru, Vesife Hatisaru
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