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This work presents six researchbased elements that align with building algebraic fluency from conceptual understandings in the teaching and learning of algebra. The six elements are: symbol sense, processes/relationships of algebra, process as an object, anticipating solution strategies, anticipating solution formats, and relationships among representations.more » « lessFree, publiclyaccessible full text available November 9, 2025

The Thinking With Algebra (TWA) project, which consists of a developmental algebra curriculum and supporting professional development, has been integrated into diverse algebra courses to support undergraduate students’ success in college algebra (Feikes et al., 2024). This paper examines the equityoriented instructional practices integrated into TWA to support strengthened equity outcomes among students. This project draws on sociopolitical equity scholarship (Rubel, 2017), including a framework consisting of achievement, access, identity, and power (Gutiérrez, 2012). Instructor and student data indicate positive changes in student achievement and identity outcomes. Future directions include expanding the integration of equityoriented instructional practices and investigation of student equity outcomes. Applying an equity lens to TWA is critical given the barriers students, particularly minoritized students, face in algebra.more » « lessFree, publiclyaccessible full text available November 9, 2025

Walker, WS ; Bryan, L A ; Guzey, SS (Ed.)The Thinking With Algebra (TWA) curriculum, a National Science Foundation Project (DUE 2021414), applies a sociopolitical equity framework (Gutiérrez, 2012) to strengthen student participants’ mathematics achievement outcomes and mathematics identity development. Instructor and student data indicate improvements in these two dimensions. This project also expands knowledge about creating equitable math learning environments that support underrepresented students’ mathematical success.more » « lessFree, publiclyaccessible full text available January 11, 2025

Walker, WS ; Bryan, LA ; Guzey, E (Ed.)Thinking With Algebra (TWA) is a National Science Foundation Project (DUE 2021414) to develop a postsecondary curriculum for intermediate algebra. TWA focuses on six elements that align with building algebraic fluency with conceptual understanding, a mixed review approach, smallgroup work, and wholeclass discussion (Feikes, et al., 2021). Using an equity lens (OpplandCordell et al., 2024), TWA is designed for students, including underrepresented students, who need additional mathematical supports at the college level. Seventeen college math instructors attended a workshop on the lessons and pedagogy in order to use TWA in their college courses. Feedback from instructors participating in the TWA firstyear faculty workshop indicated that the curriculum was used in many different ways to help prepare students for college algebra and other STEM courses.more » « lessFree, publiclyaccessible full text available January 11, 2025

Thinking With Algebra (TWA) is a curriculum development project for college students needing introductory/intermediate algebra. Unique guiding principles of the project are a focus on algebraic structure, mixed review, equity, and a classroom approach emphasizing smallgroup work and whole class discussion (Feikes et al., 2022). Results are derived from a survey given to one class of fifteen students taking an intermediate algebra summer course. The paper shares both Likert and openended responses. Data demonstrates that the students believed that the TWA curriculum was beneficial.more » « less

W. S. Walker, III (Ed.)Thinking With Algebra (TWA) is a curriculum development project for college students needing introductory/intermediate algebra. Unique guiding principles of the project are a focus on algebraic structure, mixed review, equity, and a classroom approach emphasizing smallgroup work and whole class discussion (Feikes et al., 2022). Results are derived from a survey given to one class of fifteen students taking an intermediate algebra summer course. The paper shares both Likert and openended responses. Data demonstrates that the students believed that the TWA curriculum was beneficial.more » « less

Walker, WS ; Bryan ; LA ; Guzey ; SS ; SuazoFlores, E (Ed.)Algebra readiness and algebraic structure have been core ideas in our curriculum development work to help students develop conceptual understandings of algebra. This research brief uses Kaput’s (2008) definition of algebra to describe algebra readiness and algebraic structure, as they relate to thinking about algebra and thinking with algebra.more » « less

W. S. Walker, III ; null ; null ; null (Ed.)Thinking with Algebra (TWA) is a project to develop algebra curriculum for college classes. The overall goal is to develop curricular materials that will help prepare students conceptually for college algebra. The project is described and the importance of algebraic structure as a theoretical consideration is explained.more » « less