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 …
used in order to help students face their misconceptions. We introduce the notions of pivotal …
Challenging teacher beliefs about student engagement in mathematics
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 …
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 …
irrational numbers. Various dimensions of participants' knowledge regarding the relation …
What secondary teachers think and do about student engagement in mathematics
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 …
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
This paper reports the results from a set of exploratory teaching interviews in which students
constructed individualized algebraic expressions (called personal expressions) to describe …
constructed individualized algebraic expressions (called personal expressions) to describe …
Learning to make sense of fractions: Some insights from the Malaysian primary 4 pupils
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 …
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 …
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 …
instruction on seventh grade students' algebra performance, attitudes toward mathematics …
Measuring conceptual understanding in randomised controlled trials: Can comparative judgement help?
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 …
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
Özet Bu çalışmanın amacı; 8. sınıf öğrencilerinin genellemeleri formüle etme, sembolleri ve
cebirsel ilişkileri kullanma ve çoklu gösterimlerden yararlanma şeklinde sıralanan cebirsel …
cebirsel ilişkileri kullanma ve çoklu gösterimlerden yararlanma şeklinde sıralanan cebirsel …