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Second Graders' Solution Strategies And Understanding Of A Combination Problem, Tiffany Marie Hessing
Second Graders' Solution Strategies And Understanding Of A Combination Problem, Tiffany Marie Hessing
Theses and Dissertations
I inquire about second graders' capabilities of developing solution strategies and the original variety of strategies they bring forth while solving a combination problem. Based on analysis of the data presented in this paper, students developed five different general strategies. After analyzing what the second grade students were capable of developing, we can conclude that young children are capable of developing powerful systematic strategies grounded in their personal experiences. This research shows that even when the teacher does not foster personal agency, children will still exercise agency. The social interactions in the classroom helped students learn to propose mathematical ideas, …
On The Combinatorics Of Certain Garside Semigroups, Christopher R. Cornwell
On The Combinatorics Of Certain Garside Semigroups, Christopher R. Cornwell
Theses and Dissertations
In his dissertation, F.A. Garside provided a solution to the word and conjugacy problems in the braid group on n-strands, using a particular element that he called the fundamental word. Others have since defined fundamental words in the generalized setting of Artin groups, and even more recently in Garside groups. We consider the problem of finding the number of representations of a power of the fundamental word in these settings. In the process, we find a Pascal-like identity that is satisfied in a certain class of Garside groups.
What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses?, Matthew M. Webb
What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses?, Matthew M. Webb
Theses and Dissertations
Lesson study is a form of professional development for teachers adopted in recent years from Japan. Introducing lesson study to U.S. teachers and researchers has been the focus of most of the literature on this subject. Much of the literature outlines how lesson study works and describes its essential features. One of the features of lesson study is anticipating student responses, also known as anticipating student thinking. Anticipating student responses is passingly described in lesson study literature. This research was conducted to understand what it means to anticipate student responses for preservice mathematics teachers in a lesson study group. Lesson …