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 …

Abstract algebra and secondary school mathematics connections as discussed by mathematicians and mathematics educators

AL Suominen - Connecting abstract algebra to secondary mathematics …, 2018 - Springer
Most certification programs in the USA for secondary mathematics require coursework in
abstract algebra. Yet several researchers have shown that most undergraduate students …

Secondary teachers' guided reinvention of the definitions of reducible and irreducible elements

KS Serbin, Y Bae, S Espinosa - The Journal of Mathematical Behavior, 2024 - Elsevier
Abstract Informed by Realistic Mathematics Education, we designed a hypothetical learning
trajectory on graduate students' guided reinvention of reducible and irreducible elements in …

Reasoning productively across algebraic contexts: Students develop coordinated notions of inverse

JP Cook, K Melhuish, R Uscanga - The Journal of Mathematical Behavior, 2023 - Elsevier
The concept of inverse is threaded throughout K-16 mathematics. Scholars frequently
advocate for students to understand the underlying structure: combining an element and its …

[PDF][PDF] Studi Literatur tentang Jenis Koneksi Matematika pada Aljabar Abstrak

J Junarti, YL Sukestiyarno, M Mulyono… - PRISMA, Prosiding …, 2020 - journal.unnes.ac.id
Studi ini dimaksudkan untuk membangun kemampuan koneksi matematika mahasiswa
pada aljabar abstrak dengan menggali jenis koneksi matematika dari kajian pustaka. Kajian …

An initial framework for analyzing students' reasoning with equivalence across mathematical domains

JP Cook, Z Reed, E Lockwood - The Journal of Mathematical Behavior, 2022 - Elsevier
The concept of equivalence is foundational in mathematics and is pervasive in the K-16
curriculum. Though much research has focused on equivalence, nearly all of it is domain …

Connecting university mathematics and school mathematics to address Klein's double discontinuity: A case of ring theory

AS Pramasdyahsari, RD Setyawati… - Beta: Jurnal Tadris …, 2019 - jurnalbeta.ac.id
Abstract [English]: The article aims to reveal how pre-service mathematics teachers (PMTs)
identify the connection between ring theory and the mathematics topics in secondary …

Algebraic Thinking Process of Students with High Mathematical Ability in Solving Linear Equations Based on Cognitive Systems

AP Kusuma, SB Waluya, S Mariani - Pegem Journal of Education …, 2024 - pegegog.net
Algebraic thinking is the ability to generalize about numbers and calculations, find concepts
from patterns and functions and form ideas using symbols. It is important to know the …

On the use of dialogues: Looking back and looking forward

R Zazkis - … in mathematics education: Mathematical dialogues in …, 2018 - Springer
On the Use of Dialogues: Looking Back and Looking Forward | SpringerLink Skip to main
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Exploring mathematical connections preservice teachers make between Abstract Algebra and secondary mathematics: Implications for learning and teaching

C Gray - 2021 - search.proquest.com
Abstract algebra has been identified as an important course for preservice secondary
mathematics teachers because much of the abstract algebra content is connected to, and …