scholarly journals When a University Mathematics Department Adopted Core Mathematics Courses of an Unintentionally Constructionist Nature: Really?

2015 ◽  
Vol 1 (2-3) ◽  
pp. 133-155 ◽  
Author(s):  
Chantal Buteau ◽  
Eric Muller ◽  
Neil Marshall
2020 ◽  
Author(s):  
Chris Sangwin ◽  
George Kinnear

We describe an organising principle for online learning materials we term coherently organised digital exercises and expositions. Larger in scale than individual lessons but smaller than a programme of study, this innovation in instructional practice is increasingly guiding our thinking in the development of university mathematics courses. Essentially we have taken the book and put it inside automatically assessed online quizzes. In doing this we embrace the potential provided by new technology to implement evidence-based practices such as spaced retrieval practice. This paper discusses details of this innovation, and how we have implemented it. On the basis of these experiences, we believe this innovation has the potential to change the model of education for university mathematics courses in substantial and non-trivial ways.


2005 ◽  
Vol 277-279 ◽  
pp. 219-225
Author(s):  
Hyang Sook Kim ◽  
Young Mi Kim

In this paper, we give examples of three models created for use in teaching university mathematics courses. We estimate the area of a figure by probabilistic simulation and illustrate various examples of parametric cycloids.


1975 ◽  
Vol 68 (8) ◽  
pp. 678-682
Author(s):  
Louis J. Chatterley

A university mathematics department plans and tests a precalculus course.


2002 ◽  
Vol 9 (4) ◽  
pp. 234-237
Author(s):  
David A. Reid

NCTM's Standards documents (1989, 2000) call for increased attention to the development of mathematical reasoning at all levels. In order to accomplish this, teachers need to be attentive to their students' reasoning and aware of the kinds of reasoning that they observe. For teachers at the early elementary level, this may pose a challenge. Whatever explicit discussion of mathematical reasoning they might have encountered in high school and university mathematics courses could have occurred some time ago and is unlikely to have included the reasoning of children. The main intent of this article is to give teachers examples of ways to reason mathematically so that they can recognize these kinds of reasoning in their own students. This knowledge can be beneficial both in evaluating students' reasoning and in evaluating learning activities for their usefulness in fostering reasoning.


2013 ◽  
Vol 1 (2) ◽  
pp. 137-147 ◽  
Author(s):  
Eva Thanheiser ◽  
Randolph A. Philipp ◽  
Jodi Fasteen ◽  
Krista Strand ◽  
Briana Mills

Helping prospective elementary school teachers (PSTs) recognize that they have something useful to learn from university mathematics courses remains a constant challenge. We found that an initial content interview with PSTs often led to the PSTs' changing their beliefs about mathematics and about their understanding of mathematics, leading to the recognition that (a) there is something to learn beyond procedures, (b) their own knowledge is limited and they need to know more to be able to teach, and (c) engaging in the mathematical activities in their content courses will lead them to learning important content. Thus, such an interview can set PSTs on a trajectory characterized by greater motivation to learn in their content courses.


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