skip to main content


Title: Measuring high school students' funds of knowledge for learning mathematics
Mathematics experienced by students can be derived from the contextually situated “real world” experiences of the educator, which is typically White and middle class and not a reflection of the demographics of many classrooms in the United States. Activities where students find connections to their lives and interests have shown promise in enhancing student performance and experiences in mathematics classrooms. In this study, mathematics funds of knowledge are assessed in a novel survey instrument, reinforcing the salience of relating math experiences to students’ lives and acknowledging skills and knowledge originating from experiences outside of the math classroom.  more » « less
Award ID(s):
1759195
NSF-PAR ID:
10166200
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Proceedings of the 42nd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. Abstract

    Traditionally, learning among young students has taken place within structured, physical classroom settings. However, the emergence of distance learning has introduced a diverse range of learning methods, including online, hybrid, and blended approaches. When the COVID-19 pandemic led to extended delays in in-person instruction, use of educational technologies such as asynchronous videos and online platforms were deployed to deliver mathematics curricula aligned with the Common Core State Standards (CCSS), though best practices for teaching mathematics asynchronously are not well studied. This study focuses on exploring the effectiveness of a math course on proportional reasoning that was co-designed, developed, and deployed in 5th and 6th grade Orange County classrooms. Examining the learning experience design (LXD) paradigm, this research focuses on discerning its influence on (n = 303) children's engagement during their involvement in an online, video-based math course. LXD is implemented by combining evidence-based pedagogical instructional design with human-centered user experience (UX) design. The study utilized a structural equation model to analyze the relationships between learners' user experiences, situational interest, mind-wandering, and online engagement. The results demonstrated significant direct effects between students' situational interest, user experience, and their level of online engagement. Findings also indicate that students' situational interest and mind-wandering significantly mediate the relationship between their user experiences and online engagement. These results have important theoretical and practical implications for researchers, designers, and instructors. By combining evidenced-based pedagogical learning design with human-centered user experience design, LX designers can promote situational interest, reduce mind-wandering, and increase engagement in elementary mathematics courses conducted in asynchronous online settings.

     
    more » « less
  2. null (Ed.)
    The expansion of K-12 computer science (CS) has driven a dramatic need for educators who are trained in CS content and pedagogy [1]. This poster describes our effort to train teacher candidates (i.e., pre-service teachers who are students seeking degrees within a College of Education), who are specializing in secondary mathematics education, to be future CS educators. We specifically describe our collaboration to provide a blended preparatory six-week training for the ETS CS Praxis exam (5652), assisting our pre-service students in satisfying the CS certification requirements in our state before they graduate and begin their professional teaching career. Given the unique challenges of pre-service CS teacher preparation [2], blended models, which combine both in-person and online instruction, are an effective approach to building a pre-service program. Within our pre-service CS program, students first complete a two-course pathway that prepares them in AP CSP content and pedagogy experiences, including observations in local AP CSP classrooms [3]. After completing the two courses, our students participate in the blended version of the WeTeach_CS Praxis preparation course to achieve certification. The in-person support provided by the blended model contributed significantly to certification success in this project. With a cut-score of 149 for the Praxis exam, all 11 of our pre-service students who completed the course received a passing score (including one student with a perfect score of 200, and another student with a 195); the average score for our pre-service students was 175. An additional 11 in-service teachers, with diverse backgrounds in CS content knowledge, also participated in the blended Praxis preparation course, with an average score of 166. Given the unique challenges of pre-service CS teacher preparation, university pre-service CS teacher programs should look to innovative models of teacher support developed by in-service programs to make substantial gains in CS teacher certification. Incorporating an asynchronous online course that allows teachers with a wide range of prior experience in CS to learn at their own pace with in-person coursework and support appears to be a viable model for assisting non-CS major teacher candidates in achieving a CS certification. With the blended model, even teachers with no background knowledge in CS were successful. Within our pre-service CS program, students first complete a two-course pathway that prepares them in AP CSP content and pedagogy experiences, including observations in local AP CSP classrooms [3]. After completing the two courses, our students participate in the blended version of the WeTeach_CS Praxis preparation course to achieve certification. The in-person support provided by the blended model contributed significantly to certification success in this project. With a cut-score of 149 for the Praxis exam, all 11 of our pre-service students who completed the course received a passing score (including one student with a perfect score of 200, and another student with a 195); the average score for our pre-service students was 175. An additional 11 in-service teachers, with diverse backgrounds in CS content knowledge, also participated in the blended Praxis preparation course, with an average score of 166. Incorporating an asynchronous online course that allows teachers with a wide range of prior experience in CS to learn at their own pace with in-person coursework and support appears to be a viable model for assisting non-CS major teacher candidates in achieving a CS certification. With the blended model, even teachers with no background knowledge in CS were successful. 
    more » « less
  3. Integrated STEM approaches in K-12 science and math instruction can be more engaging and meaningful for students and often meet the curriculum content and practice goals better than single-subject lessons. Engineering, as a key component of STEM education, offers hands-on, designed-based, problem solving activities to drive student interest and confidence in STEM overall. However, K-12 STEM teachers may not feel equipped to implement engineering practices and may even experience anxiety about trying them out in their classrooms without the added support of professional development and professional learning communities. To address these concerns and support engineering integration, this research study examined the experiences of 18 teachers in one professional development program dedicated to STEM integration and engineering pedagogy for K-12 classrooms. This professional development program positioned the importance of the inclusion of engineering content and encouraged teachers to explore community-based, collaborative activities that identified and spoke to societal needs and social impacts through engineering integration. Data collected from two of the courses in this project, Enhancing Mathematics with STEM and Engineering in the K-12 Classroom, included participant reflections, focus groups, microteaching lesson plans, and field notes. Through a case study approach and grounded theory analysis, themes of self-efficacy, active learning supports, and social justice teaching emerged. The following discussion on teachers’ engineering and STEM self-efficacy, teachers’ integration of engineering to address societal needs and social impacts, and teachers’ development in engineering education through hands-on activities, provides better understanding of engineering education professional development for K-12 STEM teachers. 
    more » « less
  4. Studies in science and mathematics education have shown that teachers’ responsiveness to students’ ideas, feelings, and experiences is critical for promoting epistemic agency, disciplinary engagement, and equity. Such responsiveness is particularly important for students whose cultures, backgrounds, and funds of knowledge have been traditionally marginalized in science, technology, engineering, and mathematics (STEM) classrooms. Yet, what allows teachers to enact responsive teaching is less clear. We argue that epistemic empathy—the capacity for tuning into and appreciating learners’ intellectual and emotional experiences in constructing, communicating, and critiquing knowledge—is an essential driver of teacher responsiveness. In this work, we examine how epistemic empathy can serve to support teachers’ attention and responsiveness to students’ sensemaking experiences in the classroom and discuss emergent tensions that arise in this work. We end with implications for research and for teacher education to cultivate epistemic empathy as a resource for responsive teaching and a target for teacher learning.

     
    more » « less
  5. In a time when the United States is faced with continued racism and social unrest, it is more important than ever to prepare teachers who can advocate for marginalized students and social justice. This article describes the evolution of a seminar course called Theory and Reality: Practicum in Math and Science Teaching in High-Need Schools within the context of a predominately White teacher-preparation program. Guided by scholars of culturally relevant education and our professional and personal journeys as equity-focused teacher educators, we sought to design experiences to prepare preservice science and mathematics teachers to teach in high-poverty or underfunded schools. Specifically, the course was intended to (1) develop an understanding of pedagogical practices and educational strategies for successful teaching in a high-need school setting, especially in mathematics and science classrooms, and (2) cultivate both cultural self-awareness and cross-cultural consciousness in one’s ability to adapt to the high-need environment in a culturally responsive way. We describe the evolutionary rationale for changes made to course assignments and readings to promote cultural competence and early advocacy skills for teacher candidates interested in teaching in schools facing poverty. We highlight preservice teachers’ reflections that evidence their early conceptualizations of teaching in a high-need school context and how assignments promoted their relationship-building and advocacy skills for marginalized students. 
    more » « less