Reasoning Skills

Developing Teaching Expertise in K-5 Mathematics

This project designs materials and an accompanying support system to enable the development of expertise in the teaching of mathematics at the elementary level. The project has four main components: online professional development modules; practice-based assessments; resources for facilitators; and web-based technologies to deliver module content to diverse settings. Three modules are being developed and focus on fractions, reasoning and explanation, and geometry. Each module is organized into ten 1.5 hour sessions.

Project Email: 
Award Number: 
1118745
Funding Period: 
Thu, 09/01/2011 to Fri, 08/31/2018
Project Evaluator: 
American Institutes for Research
Full Description: 

Developers and researchers at the University of Michigan and the University of Denver are engaged in a project to design materials and an accompanying support system to enable the development of expertise in the teaching of mathematics at the elementary level. The project has four main components: a set of online professional development modules; practice-based assessments; a set of resources for facilitators; and web-based technologies to deliver module content to diverse settings. Three modules are planned: one focused on fractions and one focused on reasoning and explanation designed by Deborah Ball, Hyman Bass and the University of Michigan development team; and one on geometry developed by Douglas Clements and Julie Sarama at the University of Denver. Each module is organized into ten 1.5 hour sessions. 

Each module goes through a two-year design and development process that includes initial design, piloting, revision, and dissemination. Modules are piloted in a variety of settings, including university based courses for practicing teachers and district based in-service activities. These contexts include face-to-face professional development, real-time distance learning, and combinations of the two. Data are collected on participant engagement with the modules, on teacher classroom practice, and on mathematical knowledge for teaching.

The modules and associated materials will be widely available and will be free to schools. The materials can be imported into any learning management system, such as Blackboard, Moodle, and others.

Continuous Learning and Automated Scoring in Science (CLASS)

This five-year project investigates how to provide continuous assessment and feedback to guide students' understanding during science inquiry-learning experiences, as well as detailed guidance to teachers and administrators through a technology-enhanced system. The assessment system integrates validated automated scorings for students' written responses to open-ended assessment items into the "Web-based Inquiry Science Environment" (WISE) program.

Award Number: 
1119670
Funding Period: 
Thu, 09/01/2011 to Mon, 08/31/2015
Full Description: 

This five-year project investigates how to provide continuous assessment and feedback to guide students' understanding during science inquiry-learning experiences, as well as detailed guidance to teachers and administrators through a technology-enhanced system. The assessment system integrates validated automated scorings for students' written responses to open-ended assessment items (i.e., short essays, science narratives, concept mapping, graphing problems, and virtual experiments) into the "Web-based Inquiry Science Environment" (WISE) program. WISE is an online science-inquiry curricula that supports deep understanding through visualization of processes not directly observable, virtual experiments, graphing results, collaboration, and response to prompts for explanations. In partnership with Educational Testing Services (ETS), project goals are: (1) to develop five automated inquiry assessment activities that capture students' abilities to integrate their ideas and form coherent scientific arguments; (2) to customize WISE by incorporating automated scores; (3) to investigate how students' systematic feedback based on these scores improve their learning outcomes; and (4) to design professional development resources to help teachers use scores to improve classroom instruction, and administrators to make better informed decisions about teacher professional development and inquiry instruction. The project targets general science (life, physical, and earth) in three northern California school districts, five middle schools serving over 4,000 6th-8th grade students with diverse cultural and linguistic backgrounds, and 29 science teachers. It contributes to increase opportunities for students to improve their science achievement, and for teachers and administrators to make efficient, evidence-based decisions about high-quality teaching and learning.

A key research question guides this effort: How automated scoring of inquiry assessments can increase success for diverse students, improve teachers' instructional practices, and inform administrators' decisions about professional development, inquiry instruction, and assessment? To develop science inquiry assessment activities, scoring written responses include semantic, syntax, and structure of meaning analyses, as well as calibration of human-scored items with a computer-scoring system through the c-rater--an ETS-developed cyber learning technology. Validity studies are conducted to compare automated scores with human-scored items, teacher, district, and state scores, including sensitivity to the diverse student population. To customize the WISE curriculum, the project modifies 12 existing units and develops nine new modules. To design adaptive feedback to students, comparative studies explore options for adaptive guidance and test alternatives based on automated scores employing linear models to compare student performance across randomly assigned guidance conditions; controlling for covariates, such as prior science scores, gender, and language; and grouping comparison studies. To design teacher professional development, synthesis reports on auto-scored data are created to enable them to use evidence to guide curricular decisions, and comments' analysis to improve feedback quality. Workshops, classroom observations, and interviews are conducted to measure longitudinal teachers' change over time. To empower administrators' decision making, special data reports, using-evidence activities, individual interviews, and observation of administrators' meetings are conducted. An advisory board charged with project evaluation addresses both formative and summative aspects.

A research-informed model to improve science teaching and learning at the middle school level through cyber-enabled assessment is the main outcome of this effort. A total of 21 new, one- to three-week duration standards-based science units, each with four or more automatically scored items, serve as prototypes to improve students' performance, teachers' instructional approaches, and administrators' school policies and practices.

CAREER: Engaging Elementary Students in Data Analysis Through Study of Physical Activities

This project is investigating the learning that can take place when elementary school students are directly involved in the collection, sense-making, and analysis of real, personally-meaningful data sets. The hypotheses of this work are that by organizing elementary statistics instruction around the study of physical activities, students will have greater personal engagement in data analysis processes and that students will also develop more robust understandings of statistical ideas.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1054280
Funding Period: 
Fri, 07/01/2011 to Sat, 06/30/2018
Full Description: 

This CAREER awardee at Utah State University is investigating the learning that can take place when elementary school students are directly involved in the collection, sense-making, and analysis of real, personally-meaningful data sets. The project responds to increasing attention to data collection and analysis in elementary grades and aims to make important contributions to the knowledge base on effective approaches to these topics. The hypotheses of this work are that by organizing elementary statistics instruction around the study of physical activities, students will have greater personal engagement in data analysis processes and that students will also develop more robust understandings of statistical ideas. Students and teachers from fifth grade classrooms from several elementary schools from northern Utah, are participating in the project. This work is co-funded by the EPSCoR program.

Statistics topics include measures of center and variation. Students use pedometers, heart rate monitors, other probeware, and the TinkerPlots software. The research team investigates the influence of personal ownership and relationships to data on students' understanding of learning of elementary statistics concepts and their ability to analyze data. The research involves multi-year clinical interviews and video-recorded classroom design experiments.

Research results are expected to be published in appropriate journals and are expected to be presented at professional meetings. Lesson plans and student instructional materials related to physical activity, measures of center, and data distributions are made available for use in partner elementary schools.

Development of a Cognition-Guided, Formative-Assessment-Intensive, Individualized Computer-Based Dynamic Geometry Learning System for Grades 3-8

This project is focused on creating, testing, refining, and studying a computer-based, individualized, interactive learning system for intermediate/middle school students or by teachers in classrooms. This learning system is called Individualized Dynamic Geometry Instruction and will contain four instructional modules in geometry and measurement that reflect the recommendations of the Common Core State Standards.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1119034
Funding Period: 
Thu, 09/01/2011 to Mon, 08/31/2015
Project Evaluator: 
Jeff Shih
Full Description: 

Developers and researchers at Ohio State University and KCP Technologies are creating, testing, refining, and studying a computer-based, individualized, interactive learning system for intermediate/middle school students that can be used by them independently (online or offline) or by teachers in classrooms. This learning system is called Individualized Dynamic Geometry Instruction (iDGi) and will contain four instructional modules in geometry and measurement that reflect the recommendations of the Common Core State Standards (CCSS). iDGi courseware fully integrates research-based Learning Progressions (LPs) for guiding students' reasoning; formative-assessment linked to LPs; instructional sequencing that interactively adapts to students' locations in LPs; built-in student monitoring, feedback, and guidance; and research-based principles of educational media into the modules. The software platform for iDGi development is an extended version of the dynamic geometry computer environment, The Geometer's Sketchpad.

The development process follows recommendations in Douglas Clements' Curriculum Research Framework and includes sequences of development, trials with students, data collection, and revision. The research and evaluation are based on random assignment of approximately 350 students to treatment and control groups. Achievement data are collected using developer-constructed instruments with items that reflect the mathematics topics in the CCSS. Researchers explore the variability at the student, teacher, and school levels using the appropriate level of hierarchical linear models.

Commercial publishers have expressed strong interest in publishing online and offline computer versions of iDGi, an iPad version of iDGi, an online management system for iDGi, and support materials for users and teachers.

Supporting Scientific Practices in Elementary and Middle School Classrooms

This project will develop a learning progression that characterizes how learners integrate and interrelate scientific argumentation, explanation and scientific modeling, building ever more sophisticated versions of practice over time using the three common elements of sense-making, persuading peers and developing consensus.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1020316
Funding Period: 
Wed, 09/01/2010 to Fri, 08/31/2012
Full Description: 

Research on student learning has developed separate progressions for scientific argumentation, explanation and scientific modeling. Engaging Learners in Scientific Practices develops a learning progression that characterizes how learners integrate and interrelate scientific argumentation, explanation and scientific modeling, building ever more sophisticated versions of practice over time using the three common elements of sense-making, persuading peers and developing consensus. The learning progression is constructed through improvements in students' performance and understanding of scientific practice as measured by their attention to generality of explanation, attention to clarity of communication and audience understanding, attention to evidentiary support, and attention to mechanistic versus descriptive accounts. The project is led by researchers at Northwestern University, the University of Texas, Wright State University, Michigan State University, and the BEAR assessment group. Two cohorts of 180 students each are followed for two years from 4th to 5th grade in Illinois and two cohorts of 180 students each are followed for two years from 5th to 6th grade in Michigan The elementary school students will work with FOSS curriculum units modified to embed supports for scientific practices. Two cohorts of 500 middle school students are followed for three years from 6th to 8th grade as they work with coordinated IQWST units over three years. The outcome measures include analyses of classroom discourse, pre- and pos-test assessments of student learning, and reflective interviews grounded in students' own experiences with practices in the classroom to assess their growth across the dimensions. The BEAR team is responsible for validation and calibration of the frameworks and instruments, and design of the scheme for analysis of the data. Horizon Research performs the formative and summative evaluation. The project will produce an empirically-tested learning progression for scientific practices for grades 4-8 along with tested curriculum materials and validated assessment items that support and measure students' ability in the scientific practices of explanation, argumentation and modeling. In the process of development, an understanding is gained about how to design and test this learning progression. The framework is articulated on a website for use by other researchers and developers. The project also builds capacity by educating several graduate students.


Project Videos

2019 STEM for All Video Showcase

Title: Science Storylines

Presenter(s): Brian Reiser, Kelsey Edwards, Barbara Hug, Tara McGill, Jamie Noll, Michael Novak, Bill Penuel, Trey Smith, & Aliza Zivic


INK-12: Teaching and Learning Using Interactive Ink Inscriptions in K-12 (Collaborative Research: Koile)

This is a continuing research project that supports (1) creation of what are termed "ink inscriptions"--handwritten sketches, graphs, maps, notes, etc. made on a computer using a pen-based interface, and (2) in-class communication of ink inscriptions via a set of connected wireless tablet computers. The primary products are substantiated research findings on the use of tablet computers and inscriptions in 4th and 5th grade math and science, as well as models for teacher education and use.
Award Number: 
1020152
Funding Period: 
Wed, 09/01/2010 to Sun, 08/31/2014
Project Evaluator: 
David Reider, Education Design Inc.
Full Description: 

The research project continues a collaboration between MIT's Center for Educational Computing Initiatives and TERC focusing on the enhancement of K-12 STEM math and science education by means of technology that supports (1) creation of what are termed "ink inscriptions"--handwritten sketches, graphs, maps, notes, etc. made on a computer using a pen-based interface, and (2) in-class communication of ink inscriptions via a set of connected wireless tablet computers. The project builds on the PIs' prior work, which demonstrated that both teachers and students benefit from such technology because they can easily draw and write on a tablet screens, thus using representations not possible with only a typical keyboard and mouse; and they can easily send such ink inscriptions to one another via wireless connectivity. This communication provides teachers the opportunity to view all the students' work and make decisions about which to share anonymously on a public classroom screen or on every student's screen in order to support discussion in a "conversation-based" classroom. Artificial intelligence methods are used to analyze ink inscriptions in order to facilitate selection and discussion of student work.

The project is a series of design experiments beginning with the software that emerged from earlier exploratory work. The PIs conduct two cycles of experiments to examine how tablets affect students learning in 4th and 5th grade mathematics and science. The project research questions and methods focus on systematic monitoring of teachers' and students' responses to the innovation in order to inform the development process. The PIs collect data on teachers' and students' use of the technology and on student learning outcomes and use those data as empirical evidence about the promise of the technology for improving STEM education in K-12 schools. An external evaluator uses parallel data collection, conducting many of the same research activities as the core team and independently providing analysis to be correlated with other data. His involvement is continuous and provides formative evaluation reports to the project through conferences, site visits, and conference calls.

The primary products are substantiated research findings on the use of tablet computers, inscriptions, and networks in 4th and 5 grade classrooms. In addition the PIs develop models for teacher education and use, and demonstrate the utility of artificial intelligence techniques in facilitating use of the technology. With the addition of Malden Public Schools to the list of participating districts, which includes Cambridge Public Schools and Waltham Public Schools from earlier work, the project expands the field test sites to up 20 schools' classrooms.

CAREER: Supporting Middle School Students' Construction of Evidence-Based Arguments

Doing science requires that students learn to create evidence-based arguments (EBAs), defined as claims connected to supporting evidence via premises. In this CAREER project, I investigate how argumentation ability can be enhanced among middle school students. The project entails theoretical work, instructional design, and empirical work, and involves 3 middle schools in northern Utah and southern Idaho.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
0953046
Funding Period: 
Sun, 08/15/2010 to Fri, 07/31/2015
Project Evaluator: 
David Williams
Full Description: 

Doing science requires that students learn to create evidence-based arguments (EBAs), defined as claims connected to supporting evidence via premises. The question chosen for study by a new researcher at Utah State University is: How can argumentation ability be enhanced among middle school students? This study involves 325 middle school students in 12 class sections from 3 school districts in Utah and Idaho. First, students in middle school science classrooms will be introduced to problem-based learning (PBL) units that allow them to investigate ill-structured science problems. These activities provide students with something about which to argue: something that they have explored personally and with which they have grappled. Next, they will construct arguments using a powerful computer technology, the Connection Log, developed by the PI. The Connection Log provides a scaffold for building arguments, allowing each student to write about his/her reasoning and compare it to arguments built by peers. The study investigates how the Connection Log improves the quality of students' arguments. It also explores whether students are able to transfer what they have learned to new situations that call for argumentation.

This study is set in 6th and 7th grade science classrooms with students of diverse SES, ethnicity, and achievement levels. The Connection Log software supports middle school students with written prompts on a computer screen that take students through the construction of an argument. The system allows students to share their arguments with other members of their PBL group. The first generation version of the Connection Log asks students to:

1. define the problem, or state the problem in their own words

2. determine needed information, or decide on evidence they need to find to solve the problem

3. find and organize needed information

4. develop a claim, or make an assertion stating a possible problem solution

5. link evidence to claim, linking specific, relevant data to assertions

The model will be optimized through a process of design-based research. The study uses a mixed methods research design employing argument evaluation tests, video, interviews, database information, debate ratings, and a mental models measure, to evaluate student progress.

This study is important because research has shown that students do not automatically come to school prepared to create evidence-based arguments. Middle school students face three major challenges in argumentation: adequately representing the central problem of the unit; determining and obtaining the most relevant evidence; and synthesizing gathered information to construct a sound argument. Argumentation ability is crucial to STEM performance and to access to STEM careers. Without the ability to formulate arguments based upon evidence, middle school students are likely to be left out of the STEM pipeline, avoid STEM careers, and have less ability to critically evaluate and understand scientific findings as citizens. By testing and refining the Connection Log, the project has the potential for scaling up for use in science classrooms (and beyond) throughout the United States.

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