Disciplinary Content Knowledge

This chapter explores a way of describing the teacher education curricular materials being developed by mathematics teacher educators through their interaction with the LessonSketch online platform (www.lessonsketch.org). We briefly describe the platform and the larger project and then using the experiences created by two fellows illustrate the kinds of materials being created by the teacher educators.

In this paper, using written responses of 37 PSTs preparing to teach grades 1-8 mathematics, we examined explanations they constructed to support their problem solutions and explanations they provided in support of their critiques of student-generated explanations. We also examined features of explanations on which PSTs drew in their critiques of mathematical explanations of students. Our results draw attention to the importance of helping PSTs develop competencies in constructing and critiquing mathematical explanations concurrently.

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.