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Lamberg, Teruni; Damelin, Steven; Gillette-Koyen, Linda; Moss, Diana – Australian Mathematics Education Journal, 2020
Visualising positive and negative numbers on a number line is helpful for exploring problems involving operations with positive and negative numbers. This is because number lines lend themselves to exploring problems involving continuous linear contexts such as travelling distances and temperature. Teachers in a professional development program…
Descriptors: Visualization, Number Concepts, Middle School Mathematics, Middle School Teachers

Sowder, Judith; Armstrong, Barbara; Lamon, Susan; Simon, Martin; Sowder, Larry; Thompson, Alba – Journal of Mathematics Teacher Education, 1998
Identifies the types of reasoning involved in middle grade mathematics with regard to multiplicative structures and the difficulties students have with the concepts, why these difficulties might occur, and the interconnections within this content area. Offers four recommendations for the preparation and professional development of teachers.…
Descriptors: Abstract Reasoning, Faculty Development, Higher Education, Knowledge Base for Teaching
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…
Descriptors: Preservice Teacher Education, Preservice Teachers, Mathematics Education, Validity