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Samuel B. Allan; Peter K. Dunn; Robert G. McDougall – International Journal of Mathematical Education in Science and Technology, 2024
In this note we demonstrate two instances where matrix multiplication can be easily verified. In the first setting, the matrix product appears as matrix element concatenation, and in the second, the product coincides with matrix addition. General proofs for some results are provided with a more complete description for 2×2 matrices. Suggested for…
Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Addition
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Despina Desli; Panagiotis Dimitropoulos – International Journal of Mathematical Education in Science and Technology, 2024
The present study aimed to examine children's and adults' performance and strategies in volume estimations. Three tasks were designed and presented to 40 adults and 40 6th grade children who were asked to estimate: (a) the number of unit measures (bricks/rice spoons) that may be put in a container, (b) the quantity of bricks/rice, between two…
Descriptors: Mathematics Instruction, Grade 6, Elementary School Students, Measurement
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Gencev, Marian; Šalounová, Dana – International Journal of Mathematical Education in Science and Technology, 2023
The aim of this paper is to present a teaching proposal for the theoretical part relating to the first- and second-order linear difference equations with constant coefficients suitable for the first-year students at various types of universities. In contradistinction to the methods often applied (memorization of algorithms without a proper…
Descriptors: Teaching Methods, Mathematics Instruction, Problem Solving, Geometric Concepts
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Davies, H. B. – International Journal of Mathematical Education in Science and Technology, 1980
Attention is drawn to an ancient Greek method for finding the least common multiple (LCM) of two numbers. A link is established between this method and a well-known method of obtaining the highest common factor (HCF) numbers. This leads to consideration of some relationships between HCF and LCM. (Author/MK)
Descriptors: Algorithms, Mathematical Formulas, Mathematics Curriculum, Mathematics Instruction
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Bryll, Grzegorz; Rabijewska, Barbara – International Journal of Mathematical Education in Science and Technology, 1980
The theory of unary and binary operations are discussed and illustrated with examples from school mathematics. Presentations of selected inverse operations are made and attention is drawn to certain "typical" problems that occur during instruction and learning of these concepts. (MP)
Descriptors: Algorithms, College Mathematics, Learning Problems, Mathematical Concepts