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[PDF][PDF] Research on the teaching and learning of proof: Taking stock and moving forward
In this chapter we focus on the concept of proof, which is important for students'
mathematical education but also hard for teachers to teach and difficult for students to learn …
mathematical education but also hard for teachers to teach and difficult for students to learn …
Which prior mathematical knowledge is necessary for study success in the university study entrance phase? Results on a new model of knowledge levels based on a …
The transition from school to tertiary mathematics courses, which involve advanced
mathematics, is a challenge for many students. Prior research has established the central …
mathematics, is a challenge for many students. Prior research has established the central …
Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction
In university mathematics courses, the activity of proof construction can be viewed as a
problem-solving task in which the prover is asked to form a logical justification …
problem-solving task in which the prover is asked to form a logical justification …
Students' images and their understanding of definitions of the limit of a sequence
There are many studies on the role of images in understanding the concept of limit.
However, relatively few studies have been conducted on how students' understanding of the …
However, relatively few studies have been conducted on how students' understanding of the …
Doctoral students' use of examples in evaluating and proving conjectures
This paper discusses variation in reasoning strategies among expert mathematicians, with a
particular focus on the degree to which they use examples to reason about general …
particular focus on the degree to which they use examples to reason about general …
[كتاب][B] Teaching and learning proof across the grades
DA Stylianou, ML Blanton, EJ Knuth - 2009 - api.taylorfrancis.com
The nature and role of proof in mathematics education has received increased attention,
with many mathematics educators advocating that proof should be a central part of the …
with many mathematics educators advocating that proof should be a central part of the …
Research on the learning and teaching of algebra
For many years, the mathematics education community has investigated the difficulties
students have with algebra. Different aspects of algebraic thinking, considered to be …
students have with algebra. Different aspects of algebraic thinking, considered to be …
A sensible approach to the calculus
In recent years, reform calculus has used the computer to show dynamic visual graphics and
to offer previously unimaginable power of numeric and symbolic computation. Yet the …
to offer previously unimaginable power of numeric and symbolic computation. Yet the …
The roles of visualization and symbolism in the potential and actual infinity of the limit process
A teaching experiment—using Mathematica to investigate the convergence of sequence of
functions visually as a sequence of objects (graphs) converging onto a fixed object (the …
functions visually as a sequence of objects (graphs) converging onto a fixed object (the …
Secondary students' proof constructions in mathematics: The role of written versus oral mode of argument representation
Prior research showed that many secondary students fail to construct arguments that meet
the standard of proof in mathematics. However, this research tended to use survey methods …
the standard of proof in mathematics. However, this research tended to use survey methods …