Classroom Practice

Cognitive Instructional Principles in Elementary Mathematics Classrooms: A Case of Teaching Inverse Relations

Instructional principles gleaned from cognitive science play a critical role in improving classroom teaching. This study examines how three cognitive instructional principles including worked examples, representations, and deep questions are used in eight experienced elementary teachers’ early algebra lessons in the U.S. Based on the analysis of 32 videotaped lessons of inverse relations, we found that most teachers spent sufficient class time on worked examples; however, some lessons included repetitive examples that also included irrelevant practice problems.

Author/Presenter

Meixia Ding

Ryan Hassler

Xiaobao Li

Lead Organization(s)
Year
2020
Short Description

This study examines how three cognitive instructional principles including worked examples, representations, and deep questions are used in eight experienced elementary teachers’ early algebra lessons in the U.S.

Teaching Early Algebra through Example-based Problem Solving: Insights from Chinese and U.S. Elementary Classrooms

Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS).

Author/Presenter

Meixia Ding

Lead Organization(s)
Year
2021
Short Description

Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS).

Networking Frameworks: A Method for Analyzing the Complexities of Classroom Cultures Focusing on Justifying

In this paper, we network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more holistic picture of classrooms which engage students in justifying. We network these frameworks around the edges of the instructional triangle as a means to coordinate them to illustrate the observable relationships among teacher, students(s), and content.

Author/Presenter

Eva Thanheiser

Kathleen Melhuish

Amanda Sugimoto

Brenda Rosencrans

Ruth Heaton

Year
2021
Short Description

In this paper, authors network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more holistic picture of classrooms which engage students in justifying.

Networking Frameworks: A Method for Analyzing the Complexities of Classroom Cultures Focusing on Justifying

In this paper, we network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more holistic picture of classrooms which engage students in justifying. We network these frameworks around the edges of the instructional triangle as a means to coordinate them to illustrate the observable relationships among teacher, students(s), and content.

Author/Presenter

Eva Thanheiser

Kathleen Melhuish

Amanda Sugimoto

Brenda Rosencrans

Ruth Heaton

Year
2021
Short Description

In this paper, authors network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more holistic picture of classrooms which engage students in justifying.

CHALK Coaching Website

The CHALK tool is a progressive web application that guides educators to improve instructional quality in early education settings. CHALK provides targeted observation tools that allow instructional coaches to easily track key classroom practices on their digital devices in real-time. This tool instantly transforms observation data into user-friendly visualizations for coaches and teachers to engage in data-driven coaching conversations for professional growth.

Author/Presenter

CHALK Project Team

Year
2020
Short Description

The CHALK tool is a progressive web application that guides educators to improve instructional quality in early education settings. CHALK provides targeted observation tools that allow instructional coaches to easily track key classroom practices on their digital devices in real-time.

Developing Transmedia Engineering Curricula Using Cognitive Tools to Impact Learning and the Development of STEM Identity

This paper examines the use of Imaginative Education (IE) to create an NGSS-aligned middle school engineering curriculum that supports transfer and the development of STEM identity. In IE, cognitive tools—such as developmentally appropriate narratives, mysteries and fantasies—are used to design learning environments that both engage learners and help them organize knowledge productively. We have combined IE with transmedia storytelling to develop two multi-week engineering units and six shorter engineering lessons.

Author/Presenter

Glenn W. Ellis

Jeremiah Pina

Rebecca Mazur

Al Rudnitsky

Beth McGinnis-Cavanaugh

Isabel Huff

Sonia Ellis

Crystal M. Ford

Kate Lytton

Kaia Claire Cormier

Year
2020
Short Description

This paper examines the use of Imaginative Education (IE) to create an NGSS-aligned middle school engineering curriculum that supports transfer and the development of STEM identity.

Resource(s)

Developing Transmedia Engineering Curricula Using Cognitive Tools to Impact Learning and the Development of STEM Identity

This paper examines the use of Imaginative Education (IE) to create an NGSS-aligned middle school engineering curriculum that supports transfer and the development of STEM identity. In IE, cognitive tools—such as developmentally appropriate narratives, mysteries and fantasies—are used to design learning environments that both engage learners and help them organize knowledge productively. We have combined IE with transmedia storytelling to develop two multi-week engineering units and six shorter engineering lessons.

Author/Presenter

Glenn W. Ellis

Jeremiah Pina

Rebecca Mazur

Al Rudnitsky

Beth McGinnis-Cavanaugh

Isabel Huff

Sonia Ellis

Crystal M. Ford

Kate Lytton

Kaia Claire Cormier

Year
2020
Short Description

This paper examines the use of Imaginative Education (IE) to create an NGSS-aligned middle school engineering curriculum that supports transfer and the development of STEM identity.

Resource(s)

Profiles of Middle School Science Teachers: Accounting for Cognitive and Motivational Characteristics

Teachers play a critical role in successfully implementing science education reforms in the United States to provide high‐quality science learning opportunities to all students. However, the differentiated ways in which teachers make decisions about their science teaching are not well understood.

Author/Presenter

Christine L. Bae

Kathryn N. Hayes

Morgan DeBusk‐Lane

Year
2019
Short Description

This study takes a person‐centered approach by applying latent profile analysis to examine how cognitive (pedagogical content knowledge) and motivational (instructional goal orientations, self‐efficacy beliefs, and reform values) characteristics combine to form science teacher profiles in middle school.

Resource(s)

Disciplinary Literacy in STEM: A Functional Approach

This study explores disciplinary literacy instruction integrated within an elementary engineering unit in an urban classroom. A multidisciplinary team of university literacy and engineering educators and classroom teachers served as the research team for this case study. A social semiotic language theory (systemic functional linguistics) and a framework of mechanistic reasoning informed the instruction and analysis of classroom discourse and student writing.

Author/Presenter

Patricia Paugh

Kristen Wendell

Year
2021
Short Description

This study explores disciplinary literacy instruction integrated within an elementary engineering unit in an urban classroom.

Teachers' Responses to Instances of Student Mathematical Thinking with Varied Potential to Support Student Learning

Teacher responses to student mathematical thinking (SMT) matter because the way in which teachers respond affects student learning. Although studies have provided important insights into the nature of teacher responses, little is known about the extent to which these responses take into account the potential of the instance of SMT to support learning. This study investigated teachers’ responses to a common set of instances of SMT with varied potential to support students’ mathematical learning, as well as the productivity of such responses.

Author/Presenter

Shari L. Stockero

Laura R. Van Zoest

Ben Freeburn

Blake E. Peterson

Keith R. Leatham

Year
2020
Short Description

This study investigated teachers’ responses to a common set of instances of student mathematical thinking (SMT) with varied potential to support students’ mathematical learning, as well as the productivity of such responses.