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Applying Expansive Framing To An Integrated Mathematics-Computer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway

Publications

In this research report for the National Council of Teachers of Mathematics 2022 Research Conference, we discuss the theory of Expansive Framing and its application to an interdisciplinary mathematics-computer science curricular unit.

Navigating The Multiple Roles Of Mathematics Graduate Teaching Assistants In Pursuit Of Racial Equity, Access, And Justice, Kristyn Lue

Exploring How We Teach

• Mathematics Graduate Teaching Assistants (GTAs) play a large role in the socialization of undergraduate students of Color and thus have an impact on their sense of belonging and retention in the STEM fields.
• GTAs occupy a unique role as agents of mathematics socialization, as they are also undergoing their own socialization as doctoral students; in many ways, these roles and this socialization processes constrain GTAs in ways that can be detrimental and marginalizing to students of Color.
• Without being aware of the ways in which systemic racism and white supremacy operate in mathematics spaces, GTAs play a role in upholding …

Delivering On A Promise: A Longitudinal Cohort Study Of Emergent Bilinguals' Academic Achievement In A Utah Dual Language Program, J. Eric Campbell

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Emergent bilingual (EB) students are a growing population in the U.S. school system currently comprising over 10% of the total population. U.S. school districts have educated EB students using a myriad of practices, including dual language immersion (DLI). Many studies have looked at the academic achievement of native-Spanish speaking EB students, yet there is a dearth of research on DLI in medium-sized school districts in rural settings. This study focused on native-Spanish speaking EB students in a DLI program in a rural Utah district. Specifically, the study compared student academic achievement in English acquisition, English language arts, mathematics, and grade …

Children's Mathematical Engagement Based On Their Awareness Of Different Coding Toys' Design Features, Joseph S. Kozlowski

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Tangible coding toys have been promulgated as useful learning tools for young children to learn computer science and mathematics concepts and skills. Although research shows coding toys can support mathematics for early childhood aged children, little is known about the specific design features of coding toys that afford mathematical thinking concepts and skills to young children. The purpose of this study was to examine kindergarten-aged children’s awareness of the design features in coding toys and to understand how those design features afford children’s engagement with mathematics. The dataset used for this study was collected as part of design-based research NSF …

The Influence Of A Course On Assessment For Inservice Secondary Mathematics Teachers, Natalie M. Anderson

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Many mathematics teachers are not prepared to design valid and usable measurements of their students’ mathematical achievements. There are relatively few opportunities for mathematics teachers to improve their assessment literacy. The purpose of this study is to (1) design a course on assessment for inservice mathematics teachers and (2) evaluate the effectiveness of the course. This paper recounts the development of the course and its influence on 16 teachers. Teachers who completed the course submitted a unit outline with learning objectives, a test blueprint, and a unit test. These artifacts influenced my evaluation on the effectiveness of the course. All …

A Computer Programming Intervention For Second Grade Math Students, Eric B. Bagley

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

The multiplication algorithms taught to elementary students are made to help students find answers quickly, but why the algorithm works and how it relates to multiplication is not widely known. For example, one intuitive meaning of multiplication is that of iterated, or, repeated, addition. In this paper, we look at the ways a visual, block-based, programming activity uses the concept of iteration to help second-graders learn multiplication. The results of the study observing second-grade students use visual programming and iteration to setup and solve multiplication story problems. We found that generally students enjoyed these activities and found them helpful during …

Mathematics From Scratch: Learning With Coding, Kimberly Beck, Jessica F. Shumway, Jody Clarke-Midura

Publications

Implementing successful cross-curricular lessons is challenging but possible. Participants in this session will learn about a partnership between Utah State University, Cache County School District, and Stanford University that has designed and implemented successful integrated mathematics-computer science lessons. Attendees will hear from researchers and in-service teachers on their experience with designing and carrying out the curriculum and will have an opportunity to view and interact with the computer programs that students used.

Cache Code Math Mathematics Lesson Plans: Exponents And Repeats, Jody Clarke-Midura, Jessica Shumway, Kimberly Beck, Umar Shehzad, Mimi Recker

Instructional resources

This document entails four 5^th grade mathematics lesson plans. The lessons are intended to be implemented in conjunction with the computer lab activities found in “Integrated Lesson (CS and Math)”. The mathematics focus of these lessons is exponents as repeated multiplication, which is paired with the computer coding concepts of repeat loop blocks.