Strengthening Educators’ Practices for Engaging and Empowering Students with Disabilities and Difficulties as Mathematics Learners

Jessica Hunt (CAREER Awardee) helped lead a virtual discussion with DRK-12 colleagues Amy Brodesky, Karen Mutch-Jones and Judy Storeygard that focused on the question: What are ways to support educators in providing high-quality, inclusive instruction that empowers students with disabilities/difficulties as mathematics thinkers and doers? Slides and a recording of the webinar are available at the link below.

DRK-12 CAREER Awards Spotlight

24 DRK-12 CAREER awardees were featured in CADRE's May 2020 Spotlight. In the spotlight, learn about the work of these emerging leaders who are developing innovative approaches for improving teaching and learning across STEM disciplines, and hear their advice for developing a successful CAREER proposal and tips for managing a CAREER grant based on their experience.

Designing Learning Environments to Foster Productive and Powerful Discussions among Linguistically Diverse Students in Secondary Mathematics (NSF #1553708)

We are studying how to create high school math classrooms where bilingual students who are classified as English learners (ELs) can participate in robust classroom discussions. Our redesign focuses on creating accessible and powerful curriculum materials, developing equitable instructional routines, and supporting student engagement in mathematical discourse practices.

Image
Target Audience
Secondary Mathematics Teachers and Students
STEM Discipline(s)
Mathematics
What Issue(s) in STEM Education is your Project Addressing?

This project supports ELs in STEM through making classroom discussions more accessible. We know from prior research that when students engage in classroom discussions, they can learn important mathematical concepts and develop a positive identity as a mathematics student. At the same time, we also know that many bilingual students who are classified as English learners, especially at the high school level, experience mathematics classes characterized by low-level mathematical and linguistic demands. Our goal is to transform this reality through a program of design research, done in collaboration with local teachers at a linguistically diverse school and student researchers from San Diego State University.

Our specific strategy is to research and develop design principles for high school classroom learning environments in which ELs participate in robust discussions. We started by observing mathematics classes during a "business as usual" phase and interviewing a linguistically diverse group of students about mathematics and about their experiences in school mathematics. We have taken what we learned from those observations and we are working with teachers to redesign the classroom learning environment to ensure all students can participate in classroom discussions. Three specific foci of our work are: 1) maintaining a consistent conceptual focus across the units we design, 2) integrating mathematical and language-related goals in each lesson, and 3) incorporating language supports in each lesson to make discussions available and fruitful for all students.

PI
William Zahner

Proof in Secondary Classrooms: Decomposing a Central Mathematical Practice (PISC Project) (NSF #1453493)

Through lesson study, the PISC Project explores the effect of an intervention to support the teaching and learning of proof in secondary geometry. PISC takes as its premise that if we scaffold proof, by first teaching particular sub-goals of proof, then students will be more successful with proof later on.

Image
Target Audience
Secondary Students Learning Proof in Geometry
STEM Discipline(s)
Mathematics; Geometry
What Issue(s) in STEM Education is your Project Addressing?

Despite that fact that proof is considered a central mathematical process, and policy documents have consistently recommended that proof be taught in school mathematics, success with proof remains elusive. A preponderance of evidence suggests that proof is challenging for teachers to teach (e.g., Cirillo, 2011; Knuth, 2002) and for students to learn (e.g., Chazan, 1993; Senk, 1985). Factors identified as contributing to these challenges include: impoverished curricula (Otten et al., 2014); teachers’ content and pedagogical knowledge (Knuth, 2002); and the lack of recommendations about how to scaffold proof so that students can be successful (Cirillo et al, 2017).

PISC draws on pilot study data and findings that suggest a promising approach to scaffolding the introduction to proof in geometry. Based on these findings, we developed the Geometry Proof Scaffold (GPS)⁠—a pedagogical framework that outlines eight sub-goals and corresponding competencies that can be taught one at a time. For example, prior to being asked to work on a proof, students learn to draw valid conclusions from given information or assumptions. The eight sub-goals in the GPS are: Understanding Geometric Concepts, Defining, Coordinating Geometric Modalities, Conjecturing, Drawing Conclusions, Using Common Sub-Arguments, Understanding Theorems, and Understanding the Nature of Proof.       

What are your Findings?

A set of 16 detailed lessons plans and corresponding student investigations, focused on the sub-goals of proof, served as the study intervention. Using a mixed-methods approach, data were collected from control and experimental groups to test the effect of the intervention. Comparing student interviews and written assessments from these groups provided compelling evidence that the PISC lessons had a positive impact on student learning. Statistical analyses demonstrate that gains made by students were significantly larger under the PISC curriculum. Clinical interviews conducted with students in control and experimental groups also provided compelling qualitative evidence about the effect of the intervention.

PI
Michelle Cirillo

Spreading Computational Literacy Equitably via Integration of Computing in Preservice Teacher Preparation (NSF #1941642)

This project studies the effect of integrating computing into preservice teacher programs across grade bands and disciplines. The project explores how to connect computing concepts and integration activities to teachers' subject area knowledge and teaching practice, and which computing concepts are most valuable for general computational literacy.

Image
Target Audience
All Grades; Preservice Teachers; Urban
STEM Discipline(s)
All Disciplines, STEM
What Issue(s) in STEM Education is your Project Addressing?

The project broadens participation in computer science and computational thinking by preparing all preservice teachers at Georgia State University to integrate computing activities into their courses. The impact of preparing all teachers to use computing activities is that students receive exposure to multiple computing activities throughout preK-12 and understand how computing is used in all disciplines. Even if students do not pursue a job in computer science, they are better prepared to use computing solutions in their chosen profession and in their personal lives. Integrating computing activities also gives teachers new tools to teach within their discipline, and the computing activities are co-designed with teacher preparation faculty to ensure that they are authentic to the primary discipline. This project is unique because it is integrating computing activities across disciplines and grade bands simultaneously. In this context, researchers can explore which computing concepts and practices are universal and should be considered part of a general computational literacy, a topic that is debated on computing education researchers.

What are your Findings?

In our pilot work, we have found that early in the learning process teachers appreciate activities that also include a detailed lesson plan for how they can use it with students. More structured activities that come with a detailed lesson plans make teachers more comfortable to use the activities in student teaching or practicums. Once teachers use the activities with students, the enthusiasm of the students to engage with the activity makes the teachers motivated to continue to use the activity and to explore variations of the activity or other activities.

Products
PI
Lauren Margulieux