Pedagogical Content Knowledge

Hapgood, S., Paprzycki, P., Czerniak, C.M. (2019). Scientific Inquiry for Young Children: Linking Teacher Professional Development and Family Engagement to Improve Student Achievement. Paper presented at the Society for Research on Child Development conference [SRCD], Balitmore, MD. March 2019.

Czerniak, C. M., Paprzycki, P., Hapgood, S., & Kaderavek, J. (2019). Longitudinal Impact of Early Childhood Science Instruction on Middle Grades Literacy and Mathematics. Paper presented at the Global Conference on Education and Research [GLOCER], Sarasota, FL. May 2019.

Czerniak, C. M., Kaderavek, J., Paprzycki, P., Hapgood, S., Mentzer, G., Molitor, S., & Mendenhall, R. (2019). Longitudinal Impact of Early Childhood Science Instruction on 5th Grade Science Achievement. Paper presented at the European Science Education Research Association [ESERA], Bologna, Italy. August 2019.

Hapgood, S., Heuring, J. & Wilson, G., Czerniak, C. (Accepted for January 2020). Early Childhood Educators’ Declarative Knowledge of the Next Generation Science Standards. A poster to be presented at the Association of Science Teacher Educators [ASTE] International Conference, San Antonio, Texas.

In this paper, we focus on the design of assessments of mathematics teachers’ knowledge by emphasising the importance of identifying the purpose for the assessment, defining the specific construct to be measured, and considering the affordances of particular psychometric models on the development of assessments as well as how they are able to communicate learning or understanding. We add to the literature by providing illustrations of the interactions among these critical considerations in determining what inferences can be drawn from an assessment.

Graph technologies are now widely available in K-12 science and mathematics classrooms. These technologies have the potential to impact the learning of science and mathematics, especially by supporting student investigations. We use meta-analysis to analyze 42 design and comparison studies involving data from 7699 students spanning over 35 years. In these studies, graphing technologies include computer software such as simulations; online tools such as graph utilities; and sensors such as temperature probes. We characterize the assessments used to measure graphing.

We describe an experience within mathematics teacher preparation that engages pre-service teachers of mathematics (PMTs) in Making and design practices that we hypothesized would inform their conceptual, curricular, and pedagogical thinking. With a focus on the design of new tools that can generate new possibilities for mathematics teaching and learning, this Learning by Design experience has PMTs exploring at the intersection of content, pedagogy, and Making.

Drawing on a situated perspective on learning, we analyzed written, open-ended journals of 52 pre-service teachers (PSTs) concurrently enrolled in mathematics and pedagogy with field experience courses for elementary education majors. Our study provides insights into PSTs’ conceptualizations of mathematical argumentation in terms of its meanings. The data reveals how PSTs perceive teacher actions, teaching strategies, classroom expectations, mathematics content, and tasks that facilitate student engagement in mathematical argumentation.