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Download full textMichael Kane – ETS Research Report Series, 2023
Linear functional relationships are intended to be symmetric and therefore cannot generally be accurately estimated using ordinary least squares regression equations. Orthogonal regression (OR) models allow for errors in both "Y" and "X" and therefore can provide symmetric estimates of these relationships. The most…
Descriptors: Factor Analysis, Regression (Statistics), Mathematical Models, Relationship
González, Antonio; Gavilán-Izquierdo, José María; Gallego-Sánchez, Inés; Puertas, María Luz – Journal on Mathematics Education, 2022
The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of…
Descriptors: Graphs, Validity, Mathematics Instruction, Geometry
Xu, Wenjing; Meng, Qun – Science Insights Education Frontiers, 2023
The Compulsory Education Course Standards for Mathematics 2022 have highlighted the educational objectives of junior secondary mathematics by emphasizing the development of mathematical competence and practical learning. Model consciousness, as one of the fundamental mathematical competencies to be developed at the junior secondary level, can…
Descriptors: Geometry, Mathematics Instruction, Standards, Educational Objectives
Direct linkSinclair, Nathalie; Patterson, Margaret – Mathematical Thinking and Learning: An International Journal, 2018
The goal of this paper is to explore dynamic geometry environments (DGE) as a type of computer programming language. Using projects created by secondary students in one particular DGE, we analyse the extent to which the various aspects of computational thinking--including both ways of doing things and particular concepts--were evident in their…
Descriptors: Mathematics Instruction, Programming, Computation, Thinking Skills
Delgadillo, Elizabeth Montoya; Vivier, Laurent – ZDM: The International Journal on Mathematics Education, 2016
Mathematical working space (MWS) is a model that is used in research in mathematics education, particularly in the field of geometry. Some MWS elements are independent of the field while other elements must be adapted to the field in question. In this paper, we develop the MWS model for the field of analysis with an identification of paradigms. We…
Descriptors: Mathematics Education, Geometry, Mathematical Models, Mathematics Instruction
Meyer, Dan – Mathematics Teacher, 2015
The Common Core State Standards for Mathematics (CCSSM) have exerted enormous pressure on every participant in a child's education. Students are struggling to meet new standards for mathematics learning, and parents are struggling to understand how to help them. Teachers are growing in their capacity to develop new mathematical competencies, and…
Descriptors: Mathematical Models, Mathematics Instruction, Academic Standards, State Standards
