What makes a counterexample exemplary?

R Zazkis, EJ Chernoff - Educational Studies in Mathematics, 2008 - Springer
In this paper we describe two episodes of instructional interaction, in which examples are
used in order to help students face their misconceptions. We introduce the notions of pivotal …

Challenging teacher beliefs about student engagement in mathematics

J Bobis, J Way, J Anderson, AJ Martin - Journal of Mathematics Teacher …, 2016 - Springer
This study explored the beliefs about student engagement in mathematics of three Year 5
and 6 teachers, focusing on the shifts that occurred during a 10-week intervention. Data …

Irrational numbers: The gap between formal and intuitive knowledge

N Sirotic, A Zazkis - Educational Studies in Mathematics, 2007 - Springer
This report focuses on prospective secondary mathematics teachers' understanding of
irrational numbers. Various dimensions of participants' knowledge regarding the relation …

What secondary teachers think and do about student engagement in mathematics

K Skilling, J Bobis, AJ Martin, J Anderson… - Mathematics Education …, 2016 - Springer
What teachers' think about student engagement influences the teaching practices they
adopt, their responses to students and the efforts they make in the classroom. Interviews …

A symbolizing activity for constructing personal expressions and its impact on a student's understanding of the sequence of partial sums

D Eckman, KH Roh - The Journal of Mathematical Behavior, 2024 - Elsevier
This paper reports the results from a set of exploratory teaching interviews in which students
constructed individualized algebraic expressions (called personal expressions) to describe …

Learning to make sense of fractions: Some insights from the Malaysian primary 4 pupils

LK Kor, SH Teoh, SSEB Mohamed… - … Electronic Journal of …, 2018 - iejme.com
The teaching and learning fractions is one of the most problematic areas in primary school
mathematics. A large number of studies have engaged paper-and-pencil test to measure …

[PDF][PDF] Understanding mathematical concepts: The case of the logarithmic function

SE Kastberg - 2002 - jwilson.coe.uga.edu
The purpose of this study was to describe students' understanding of the logarithmic
function, changes in their understanding, and ways of knowing they use to investigate …

The effects of multiple representations-based instruction on seventh grade students' algebra performance, attitude toward mathematics, and representation preference

OA Çikla - 2004 - search.proquest.com
The purpose of this study was to investigate the effects of multiple representations-based
instruction on seventh grade students' algebra performance, attitudes toward mathematics …

Measuring conceptual understanding in randomised controlled trials: Can comparative judgement help?

I Jones, M Bisson, C Gilmore… - British Educational …, 2019 - Wiley Online Library
An impediment to conducting high‐quality quantitative research studies in education is the
paucity of valid measures of learning gains. Studies often seek to investigate students' deep …

İLKÖĞRETİM 8. SINIF ÖĞRENCİLERİNİN CEBİRSEL DÜŞÜNME BECERİLERİNİN SOLO TAKSONOMİSİ İLE İNCELENMESİ

O Bağdat, PA SABAN - The Journal of Academic Social Science …, 2014 - arastirmax.com
Özet Bu çalışmanın amacı; 8. sınıf öğrencilerinin genellemeleri formüle etme, sembolleri ve
cebirsel ilişkileri kullanma ve çoklu gösterimlerden yararlanma şeklinde sıralanan cebirsel …