Supporting teachers in the development of young children's mathematical thinking: Three large scale cases

J Bobis, B Clarke, D Clarke, G Thomas, B Wright… - Mathematics Education …, 2005 - Springer
Recognition of the importance of the early childhood years in the development of numeracy
is a significant characteristic of the New Zealand Numeracy Development Project, the …

The impact of a conceptual model-based mathematics computer tutor on multiplicative reasoning and problem-solving of students with learning disabilities

YP Xin, JY Park, R Tzur, L Si - The Journal of Mathematical Behavior, 2020 - Elsevier
The study explored the impact of Please Go Bring Me-COnceptual Model-based Problem
Solving (PGBM-COMPS) computer tutoring system on multiplicative reasoning and problem …

Apuntes teóricos sobre el pensamiento matemático y multiplicativo en los primeros niveles

MA Bosch Saldaña - 2012 - uvadoc.uva.es
En el presente artículo analizamos, en primer lugar, los conceptos de pensamiento
matemático y multiplicativo, junto a otras nociones como la de pensamiento relacional o …

Language-responsive support for multiplicative thinking as unitizing: results of an intervention study in the second grade

D Götze, A Baiker - ZDM–Mathematics Education, 2021 - Springer
Multiplicative thinking involves the ability to coordinate bundled units on a more abstract
level than additive thinking and implies the identification of the different meanings of the …

Teaching number in the classroom with 4-8 year olds

RJ Wright, J Martland, AK Stafford, G Stanger - 2014 - torrossa.com
The authors of this book have worked extensively on research and development projects in
early numeracy for at least the last 20 years. Much of our research in the early 1990s …

Posing complex problems requiring multiplicative thinking prompts students to use sophisticated strategies and build mathematical connections

A Downton, P Sullivan - Educational Studies in Mathematics, 2017 - Springer
While the general planning advice offered to mathematics teachers seems to be to start with
simple examples and build complexity progressively, the research reported in this article is a …

[图书][B] Developing number knowledge: Assessment, teaching and intervention with 7-11 year olds

RJ Wright, D Ellemor-Collins, PD Tabor - 2011 - books.google.com
Following the great success of the earlier books, this fourth book in the Mathematics
Recovery series equips teachers with detailed pedagogical knowledge and resources for …

Connecting the threads: the role of multiplicative thinking in algebraic, geometrical, and statistical reasoning

L Day, D Siemon, R Callingham… - Research in Mathematics …, 2024 - Taylor & Francis
Making connections within and between different aspects of mathematics is recognised as
fundamental to learning mathematics with understanding. However, exactly what these …

Differentiating Instruction for Students Who Fail to Thrive in Mathematics: The Impact of a Constructivist-Based Intervention Approach.

A Gervasoni, A Roche, A Downton - Mathematics Teacher Education and …, 2021 - ERIC
In this paper we explore how participation in a constructivist-oriented, classroom aligned
mathematics intervention program advanced the learning and positive dispositions of Grade …

[PDF][PDF] From additive to multiplicative thinking: The big challenge of the middle years

D Siemon, M Breed, J Virgona - Proceedings of the 42nd Conference of …, 2005 - Citeseer
Background A principal aim of teaching and learning mathematics is to help the learner
create meaningful mental objects that can be manipulated, considered, and used flexibly …