Teachers' conceptions of proof in the context of secondary school mathematics

EJ Knuth - Journal of mathematics teacher education, 2002 - Springer
Current reform efforts in the United States arecalling for substantial changes in the
natureand role of proof in secondary schoolmathematics–changes designed to provide all …

Students' understandings of logical implication

C Hoyles, D Küchemann - Educational Studies in Mathematics, 2002 - Springer
We report results from an analysis of responses to a written question in which high-attaining
students in English schools, who formed part of a longitudinal nation-wide survey on proof …

[PDF][PDF] Students' understanding of a logical implication and its converse

D Kiichemann, C Hoyles - Proceedings of the 26th International …, 2002 - lettredelapreuve.org
RESULTS AND DISCUSSION Question Ll was devised to investigate whether students
could distinguish between a logical implication (J oe's statement) and its converse (Fred's …

Reasoning and justification, with examples from technological environments

MK Heid, KF Hollebrands… - The Mathematics Teacher, 2002 - search.proquest.com
Heid describes the successful use of a computer algebra system (CAS) by Kevin, a seventh-
grade student, as he worked on a problem involving functions far more difficult than the …

[PDF][PDF] Ensino e Aprendizagem da Geometria

MJ Saraiva, MI COELHO, JM MATOS - Lisboa: SEM/SPCE, 2002 - spiem.pt
A conferência de John Olive, da Universidade da Geórgia, EUA, debruça-se sobre as
implicações da utilização dos AGD (ambientes geométricos dinâmicos) no ensino e na …

[PDF][PDF] Proof in Ontario Grade Twelve Mathematics Texts

G Hanna, Y de Bruyn - sites.unipa.it
It is generally acknowledged that North American high-school students are weak at
producing proofs and have a poor understanding of the concept. In addressing this situation …

[PDF][PDF] STUDENTS'UNDERS TA NDINGOFALOGICAL IMPLIC AT IONANDITSCONVERSE

D Küchemann, C Hoyles - Citeseer
In part a) 13 percent of students correctly stated from the outset that Joe's and Fred's
statements are not saying the same thing, with a further 15 percent changing their answer …