Michael Weiss's research while affiliated with Michigan State University and other places

Publications (19)

Book
IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Sch...
Article
Although mathematical practice has traditionally valued two distinct kinds of mathematical work—referred to by Gowers (2000) as theory building and problem solving—activity in classrooms appears to be organized largely around the latter, rather than the former. This study takes up the question of whether there is a customary role for theory buildin...
Article
Erratum to: Educ Stud Math (2015)DOI 10.1007/s10649-015-9599-xThe original version of this article contained an error in the presentation of Theorem 2 (Ceva’s Theorem). The corrected presentation is given below.Theorem 2 (Ceva’s Theorem)Consider triangle ABC with points P on\( \overleftrightarrow{AB} \), Q on\( \overleftrightarrow{BC} \), and R on\...
Article
Full-text available
Rich-media representations of teaching using animated cartoons can be effective at stimulating teachers’ discussion about practice and hence help them learn productively from one another about their profession. Our research aims to design web-based interactive rich-media virtual settings for teachers to learn to do the practice of teaching. For tha...
Article
Full-text available
This article situates comic-based representations of teaching in the long history of tensions between theory and practice in teacher education. The article argues that comics can be semiotic resources in learning to teach and suggests how information technologies can support experiences with comics in university mathematics methods courses that (a)...
Article
I provide an analysis of the uses of representations of teaching by embedding such representations within Umberto Eco’s theory of the open work, in which literary works are understood not as carriers of a string of meanings, controlled by the author (“closed works”), but rather as fields of meaning. I contend that the well-established tradition of...
Article
Full-text available
We outline a theory of instructional exchanges and characterize a handful of instructional situations in high school geometry that frame some of these exchanges. In each of those instructional situations we inspect the possible role of reasoning and proof, drawing from data collected in intact classrooms as well as in instructional interventions. T...
Conference Paper
This paper reports on a pilot study on the effect of animated classroom stories, as a reference point, directly embedded in the space of online communication tools to help mathematics teachers collectively learn to notice critical events of teaching practice. The main results include: more than 70% of the teachers’ comments focused on instructional...
Conference Paper
This paper reports on a pilot study on the effect of animated classroom stories, as a reference point, directly embedded in the space of online communication tools to help mathematics teachers collectively learn to notice critical events of teaching practice. The main results include: more than 70% of the teachers’ comments focused on instructional...
Article
Full-text available
NSF grant ESI-0353285 http://deepblue.lib.umich.edu/bitstream/2027.42/62487/1/PHetal-gesture-web.pdf
Conference Paper
Full-text available
Objectives For both pre-service and in-service mathematics teachers, learning to improve the practice of teaching is an important goal (Lampert, 2001; Shavelson, 1983). Teaching, however, is extremely complex (Leinhardt & Ohlsson, 1990): teachers confront highly variable situations from moment to moment and from class to class. For this reason the...
Conference Paper
This roundtable session aims at showing how to exploit interactive rich-media technologies, especially technologies for watching and annotating animated instructional stories, to support teacher learning. We consider that watching and annotating representations of teaching done with animated cartoon characters may help teachers focus on noteworthy...
Article
We investigate experienced high school geometry teachers’ perspectives on “authentic mathematics” and the much-criticized two-column proof form. A videotaped episode was shown to 26 teachers gathered in five focus groups. In the episode, a teacher allows a student doing a proof to assume a statement is true without immediately justifying it, provid...
Conference Paper
How to help teachers learn productively from each other and practice teaching in authentic contexts has been among critical problems in teacher learning. Many have offered online communities and video technologies for teachers to develop their professional expertise, for example, share records of or commentary on their practice, get feedback from e...
Conference Paper
This paper lays out the basis for a professional development model based on conversations about practice spurred by stories of instruction represented using rich media. It describes on the one hand the learning potential of these stories, as well as what participants of a series of face-to-face study group meetings have identified as design feature...
Article
Full-text available
How to help teachers learn productively from each other and practice teaching in authentic contexts has been among critical problems in teacher learning. Many have offered online communities and video technologies for teachers to develop their professional expertise, for example, share records of or commentary on their practice, get feedback from e...
Article
This roundtable session aims at showing how to exploit interactive rich-media technologies, especially technologies for watching and annotating animated instructional stories, to support teacher learning. We consider that watching and annotating representations of teaching done with animated cartoon characters may help teachers focus on noteworthy...

Citations

... Examples of social norms are: (i) active listening, intellectual risk-taking (sharing incomplete ideas), and building on the ideas of others [2]; and (ii) assuming the responsibility of solving the given task [3]. Examples of socio-mathematical norms are: research in mathematics involves creatively solving problems; valid arguments should be based on properties of mathematical objects [1,4,5]; open-ended problems require exploration, formulation of conjecture, and argumentation of conjecture [3]. ...
... Sequential apprehension is required to construct a diagram of a geometrical figure with tools or to describe its construction. Unlike perceptual apprehension, there is a temporal dimension linked to the order in which the instructions for carrying out the construction are executed (Herbst et al., 2017). There are often auxiliary lines that do not belong to the intended figure, and the organization of elementary figural units depends on the technical constraints of the tools used (ruler and compass, paper folding, available primitives in geometrical software) and mathematical properties. ...
... As Weiss & Herbst (2015) point out, the current High School geometry course is often students' first introduction to proof, and sometimes their only example of proof in High School. ...
... Ball & Cohen (1996), Davis & Krajcik (2005), and Remillard (2000) all note the importance of educative curriculum materials (those intended to educate teachers, for instance by helping teachers to anticipate student thinking and to consider how to relate units throughout the year). Chieu, Weiss, and Herbst (2009) created animated representations of classroom events and used these representations to investigate practicing teachers' learning and knowledge, claiming that the animations provided opportunities for teachers to share and discuss their common practical knowledge of their profession, and hence learn about different alternatives to a given teaching situation or problem. ...
... Thirty-five (20.4%) were explicitly identified as 'non-experimental' meaning that they applied non-experimental designs (including pre-experimental and quasi-experimental designs), such as a natural' grouping of teachers or clusters (e.g., seminars). Only 10 papers (5.8%) adopted a 'true experimental' design (Campbell & Stanley, 1963, p. 8), in which two or more groups were compared in terms of collecting data based on randomized grouping (Alsawaie & Alghazo, 2010;Brunvand & Fishman, 2006;Chieu, Herbst, & Weiss, 2011;Fisher, Thomas, Jong, Schack, & Dueber, 2019;Prediger & Zindel, 2017;Scherrer & Stein, 2013;Seidel et al., 2011;Sherin & van Es, 2005;Simpson et al., 2018;Walkoe, Sherin, & Elby, 2019 ...
... The idea is that the subjects respond in such a way that reveals that they felt that there was a rule broken. Some mathematics educators use this research technique to confirm and explore the social norms governing classroom mathematics activity (see, for example, Chazan et al., 2012;Weiss et al., 2009). ...
... The text invites the reader to choose from a variety of interpretations. Weiss (2010) has applied Eco's distinction to evaluate the way teaching was represented in some animated vignettes of mathematics teaching episodes. ...
... In addition to standard videos, teacher educators have incorporated comic-based representations and animations (Herbst et al., 2011;Moreno & Ortegano-Layne, 2008) and, more recently, 360 videos. 360 video is a form of virtual reality (VR) in which special cameras record omnidirectionally. ...
... The work-specific practice of StoryCircles coupled with the possibility to retrofit MKT-G items to a DCM model suggests the possibility to align StoryCircles content and the attributes being assessed. In a future study, StoryCircles could focus on lessons that make use of instructional situations such as calculating in geometry, doing proofs, or exploring figures (Herbst, 2010) and we could use DCM and the national sample to assess change, providing even more focused evidence than what could be provided in this study. ...