While student teaching at West Valley High (a pseudonym), I noticed that the teaching style my
students were used to didn’t seem to offer students many opportunities to engage with the
content and come to deep understandings. Mainly, the class seemed centered around lecture on a
topic and confirmatory activities....
Generalization is a fundamental mathematical practice across all disciplines and content areas (Amit & Klass, 2005; Lannin, 2005; Pierce, 1902; Vygotsky, 1986; Ellis, Lockwood, Tillema & Moore, 2017). While a considerable amount of research has been conducted on students' generalizing activity in algebraic contexts (Amit & Klass 2005; Becker &...
Enumerative combinatorics is an area of mathematics that is both highly accessible for students and widely applicable to other sciences and areas of mathematics (Kapur, 1970; Lockwood, Wasserman, & Tillema, 2020). One important class of problems in combinatorics is combinatorial proofs of binomial identities, which is a type of proof...
Teacher noticing is a necessary skill in order for teachers to elicit and respond to their
students' mathematical ideas and support the ambitious learning goals of school mathematics. The purpose of this dissertation is to investigate what teacher candidates noticed about their teaching as they were provided supports and opportunities...
Learning assistant (LA) programs are gaining increasing popularity as a means to shift instructional practice in STEM classrooms. In these programs, trained undergraduate students join the instructional team and support student-centered active learning pedagogies. Their professional development is typically supported through a seminar. In facilitating small group collaborative learning, LAs...
An almost torus manifold $M$ is a closed $(2n+1)$-dimensional orientable Riemannian manifold with an effective, isometric $n$-torus action such that the fixed point set $M^T$ is non-empty. Almost torus manifolds are analogues of torus manifolds in odd dimension and share many of the characteristics of torus manifolds. For example, both...
This qualitative study examines the role of a graduate level multicultural teacher education course in disrupting preservice teachers' beliefs and assumptions about teaching culturally and linguistically diverse learners. This study is motivated by the following research question: What are the actions that take place in a funds of knowledge course...
Oregon State University redesigned the college algebra class to make group learning at least 50% of class time. Specifically, in two out of four class hours each week students were organized into small groups where they completed exploratory activities involving new material. Although instructors were present during those group activity...
Policy and research have increased attention in K12 mathematics education on core mathematical practices such as argumentation, justification, and proof, that are central to students learning and doing mathematics. One reason for this increased focus is the empirical evidence that engaging students in mathematical practices provide more equitable opportunities for...
Zoos and aquariums are among the best informal education avenues for individuals to further develop conservation beliefs and values. Research documented the presence of conservation messages at aquariums, that visitors expect such messages, and staff and volunteers at conservation organizations increase their conservation-related knowledge and behaviors. This research often focuses...