Disciplinary Content Knowledge

Impact of Graph Technologies in K-12 Science and Mathematics Education

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.

Author/Presenter: 
Dermot FrancisDonnelly-HermosilloaLibby F.GerardbMarcia C.Linn
Year: 
2020
Short Description: 

In this article, authors use meta-analysis to analyze 42 design and comparison studies involving data from 7699 students spanning over 35 years.

Revealing Teacher Knowledge through Making: A Case Study of Two Prospective Mathematics Teachers

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.

Author/Presenter: 
Steven Greenstein
Eileen Fernández
Jessica Davidson
Lead Organization(s): 
Year: 
2019
Short Description: 

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.

Mathematical content knowledge and knowledge for teaching: exploring their distinguishability and contribution to student learning

During the last three decades, scholars have proposed several conceptual structures to represent teacher knowledge. A common denominator in this work is the assumption that disciplinary knowledge and the knowledge needed for teaching are distinct. However, empirical findings on the distinguishability of these two knowledge components, and their relationship with student outcomes, are mixed. In this replication and extension study, we explore these issues, drawing on evidence from a multi-year study of over 200 fourth- and fifth-grade US teachers.

Author/Presenter: 
Charalambos Y. Charalambous
Heather C. Hill
Mark J. Chin
Daniel McGinn
Lead Organization(s): 
Year: 
2019
Short Description: 

In this replication and extension study, we explore these issues, drawing on evidence from a multi-year study of over 200 fourth- and fifth-grade US teachers. Exploratory and confirmatory factor analyses of these data suggested a single dimension for teacher knowledge.

Resource Type: 
Publication

Personal and Canonical PCK: A Synergistic Relationship?

Smith, P. S., Plumley, C. L., Hayes, M. L., & Esch, R. K. (2018). Personal and Canonical PCK: A Synergistic Relationship? In S. Graves, M. Harford, R. Thompson, E. Shay, & S. Uzzo (Eds.), Pedagogical Content Knowledge in STEM (pp. 49-66). The Netherlands: Springer.

Author/Presenter: 
P. Sean Smith
Courtney L. Plumley
Meredith L. Hayes
R. Keith Esch
Lead Organization(s): 
Year: 
2018
Short Description: 

Features approaches for leveraging PCK research in STEM learning across formal and informal settings.

Designing Simulations to Learn About Pre-service Teachers’ Capabilities with Eliciting and Interpreting Student Thinking

This chapter focuses on the design of simulation assessments to learn about pre-service teachers’ capabilities with eliciting and interpreting student thinking. We present a simulation assessment and show what a performance on that assessment can reveal about a pre-service teacher’s eliciting and interpreting skills, as well as their mathematical knowledge for teaching. We consider the specific design features that make it possible to appraise pre-service teachers’ capabilities.

Author/Presenter: 
Meghan Shaughnessy
Timothy Boerst
Lead Organization(s): 
Year: 
2018
Short Description: 

This chapter focuses on the design of simulation assessments to learn about pre-service teachers’ capabilities with eliciting and interpreting student thinking.

Teachers Extending Their Knowledge in Online Collaborative Learning Environments: Opportunities and Challenges

STEM Categorization: 
Day: 
Fri

Join two projects to discuss the challenges and opportunities afforded through online environments for providing professional development and supporting classroom implementation of mathematical practices.

Date/Time: 
9:15 am to 10:45 am
Session Materials: 

Teams of researchers from Drexel University, Rutgers University, University of Missouri, and the Math Forum have been investigating online environments for math education and math teacher professional learning communities. The Virtual Math Teams project has developed a synchronous, multi-user GeoGebra implementation and studies the learning of small groups as well as the preparation of teachers to facilitate this learning.

Session Types: 

Longitudinal Studies of Teacher Development in Elementary Mathematics and Science

STEM Categorization: 
Day: 
Thu

Learn about the work and findings of two longitudinal studies examining the development of knowledge, beliefs, and instructional practices among pre-service and early-career elementary teachers in mathematics and science.

Date/Time: 
2:15 pm to 3:45 pm

Over the past five years, research teams at Western Washington University and North Carolina State University have each conducted longitudinal studies to examine elementary teacher development in mathematics and science. Specifically, they have investigated the development of pre-service/novice teachers’ knowledge, beliefs, and instructional practices during teacher preparation and into their initial years of teaching. 

Session Types: 

Issues in Integrating NGSS Standards and Literacy/Language Arts in Grades K–5 Science

STEM Categorization: 
Day: 
Thu

Join in a discussion and give feedback on the work of a project integrating science and literacy/language arts, and issues associated with designing and implementing integrated science in K–5 schools.

Date/Time: 
2:15 pm to 3:45 pm
Session Materials: 

The vision of meaningful learning in science from NGSS and the National Research Council’s A Framework for K-12 Science Education requires reform efforts that address 1) curricular issues (what is being taught); and 2) pedagogical practices (what teaching will look like with emphasis on both the practices of science and engineering and the integration of the Common Core State Standards – English Language Arts).

Session Types: 

Culturally Responsive Education

STEM Categorization: 
Day: 
Thu

Review themes related to culturally responsive STEM instruction, and generate ideas for advancing research and practice in this area.

Date/Time: 
11:15 am to 12:00 pm
Facilitators: 
Session Materials: 

Problematizing and Assessing Secondary Mathematics Teachers’ Ways of Thinking

STEM Categorization: 
Day: 
Thu

Engage with presenters as they discuss assessment and rubrics designed to measure secondary teachers’ mathematical habits of mind.

Date/Time: 
9:30 am to 11:00 am
Session Materials: 

Work in secondary mathematics education takes many approaches to content, pedagogy, professional development and assessment. This session aims to illuminate the richness of hte content of secondary mathematics and the field of secondary mathematics education by sharing two such approaches and reflecting on the differences and commonalities between the two.   

Session Types: 

Pages

Subscribe to Disciplinary Content Knowledge