Examining the concept of inverse: Theory-building via a standalone literature review

JP Cook, A Richardson, S Strand, Z Reed… - The Journal of …, 2023 - Elsevier
Inverse is a critical topic throughout the K–16 mathematics curriculum where students
encounter the notion of mathematical inverse across many contexts. The literature base on …

Out of the noise: Effects of sound environment on maths performance in middle-school students

S Caviola, C Visentin, E Borella, I Mammarella… - Journal of …, 2021 - Elsevier
The main goal of the present research is to gain a better understanding of the consequences
of background noise on learning, with a specific focus on how noise may impair maths …

The remarkably frequent, efficient, and adaptive use of the subtraction by addition strategy: A choice/no-choice study in fourth-to sixth-graders with varying …

S Van Der Auwera, J Torbeyns, B De Smedt… - Learning and Individual …, 2022 - Elsevier
We investigated elementary school children's use of direct subtraction (DS) and subtraction
by addition (SBA) when mentally solving multi-digit subtractions. Fourth-to sixth-grade …

Fostering the acquisition of subtraction strategies with interleaved practice: An intervention study with German third graders

L Nemeth, K Werker, J Arend, F Lipowsky - Learning and Instruction, 2021 - Elsevier
Interleaved practice is a promising approach to foster the adaptive use of subtraction
strategies. By intermixing strategies, comparison processes are evoked, which prompt more …

Assessing conceptual knowledge through solving arithmetic word problems

C Scheibling-Sève, E Pasquinelli, E Sander - Educational Studies in …, 2020 - Springer
We propose to assess conceptual knowledge of mathematical notions by having recourse to
isomorphic word problems. We assumed that failing to solve isomorphic problems is an …

Learning to be an opportunistic word problem solver: Going beyond informal solving strategies

K Gvozdic, E Sander - ZDM, 2020 - Springer
Informal strategies reflecting the representation of a situation described in an arithmetic word
problem mediate students' solving processes. When the informal strategies are inefficient …

Multi-digit addition, subtraction, multiplication, and division strategies

M Hickendorff, J Torbeyns, L Verschaffel - International handbook of …, 2019 - Springer
This chapter provides an overview of the current findings about (the obstacles in) primary
school children's strategy use in the domain of multi-digit arithmetic. This involves addition …

The role of prior knowledge and need for cognition for the effectiveness of interleaved and blocked practice

L Nemeth, F Lipowsky - European Journal of Psychology of Education, 2024 - Springer
Interleaved practice combined with comparison prompts can better foster students' adaptive
use of subtraction strategies compared to blocked practice. It has not been previously …

[HTML][HTML] Fourth graders' adaptive strategy use in solving multidigit subtraction problems

M Hickendorff - Learning and Instruction, 2020 - Elsevier
Using the choice/no-choice methodology we investigated Dutch fourth graders'(N= 124)
adaptive use of the indirect addition strategy to solve subtraction problems. Children solved …

The role of algebraic thinking in dealing with negative numbers

J Vlassis, I Demonty - ZDM–Mathematics Education, 2022 - Springer
To date, of the many studies on early algebraic thinking, none, to our knowledge, has
examined the relationships between algebraic thinking and negative numbers. Students …