This project develops, implements, and evaluates new multimedia laboratory activities designed to engage students in science, technology, engineering, and mathematics (STEM). The project specifically targets artistically gifted students who are often steered towards more traditionally creative areas (e.g., arts and humanities) and away from STEM. The goals to help students understand that scientific principles permeate the creative and performing arts and that creativity and expression are also embraced by STEM.
This project is developing a two-year, intensive professional development model to build middle-grades mathematics teachers’ knowledge and implementation of formative assessment. Using a combination of institutes, classroom practice, and ongoing support through professional learning communities and web-based resources, this model helps teachers internalize and integrate a comprehensive understanding of formative assessment into daily practice.
Formative Assessment in the Mathematics Classroom: Engaging Teachers and Students (FACETS)
This project is submitted as a full research and development project that addresses challenge #3, how can the ability of teachers to provide STEM education be enhanced?
The FACETS project will develop a 2-year, intensive professional development model to build middle grades mathematics teachers’ knowledge and implementation of formative assessment. Using a combination of institutes, classroom practice, and ongoing support through professional learning communities and web-based resources, this model will help teachers internalize and integrate a comprehensive understanding of formative assessment into daily practice. As part of the professional development model, we will create a variety of products:
- a facilitator’s guide describing the components of the professional development model and suggestions for using the model to provide a professional development program,
- cyberlearning products such as interactive forums and a vetted resource library, and
- video and other materials for the professional development activities and resource library.
FACETS includes a formative research component centered on the following questions:
1. How do mathematics teachers’ knowledge and practice of formative assessment change as a result of participation in the proposed professional development?
2. What learning trajectory describes teachers’ learning about formative assessment, and what are common barriers to successful implementation?
Reports of research findings will include journal articles on teachers’ learning trajectory for formative assessment and common barriers to successful implementation faced by teachers.
Intellectual merit: Our field work, supported by existing research, has shown that math teachers have difficulty fully implementing formative assessment in their classroom. Existing professional development programs either present a comprehensive understanding without a focus on mathematics, or focus on mathematics but only emphasize some of the critical aspects needed to bring out the full potential of formative assessment. This project will develop a professional development model that a) presents a comprehensive understanding of formative assessment and b) focuses specifically on mathematics. Furthermore, this project proposes to contribute to the field of mathematics teacher education through a deeper insight into mathematics teachers’ learning and practice of formative assessment. This insight can be used by professional developers and teacher educators in mathematics to make decisions that help teachers progress more effectively in their learning. This project brings together a multi-disciplinary team with expertise in formative assessment, professional development, mathematics, mathematics education, and teacher education research.
Broader impacts: We anticipate that the professional development will have an immediate impact on participating teachers, and on their students, as they learn about and implement formative assessment in their classrooms. Individual districts and schools have expressed an interest in the FACETS professional development program. The New Hampshire State Department of Education also indicates support for statewide implementation. In addition, research results regarding teachers’ learning trajectories for formative assessment will be crucial to inform future professional development and teacher education programs, and to help teachers reflect on, and guide, their own learning. Data regarding the major barriers to teachers’ learning of formative assessment will also impact future professional development by identifying issues needing additional focus, as will data regarding the effect on those barriers of factors such as teaching experience and mathematical knowledge for teaching. Finally, as there is a paucity of video and other examples of formative assessment in mathematics classrooms, the resource library will make widely available a sorely needed resource to teachers grappling with understanding and implementing formative assessment in mathematics classrooms in a practical way.
This research and development project provides resources for ninth-grade mathematics students and teachers by developing, piloting, and field-testing intervention modules designed as supplementary materials for Algebra 1 classes (e.g., double-period algebra). Rather than developing isolated skills and reviewing particular topics, these materials aim to foster the development of mathematical habits of mind—in particular, the algebraic habit of abstracting from calculations, a key unifying idea in the transition from arithmetic to algebra.
Transition to Algebra, A Habits of Mind Approach, is aimed at very quickly giving students the mathematical knowledge, skill, and confidence to succeed in algebra, and showing them that they can be good at things they believed they couldn't do. The students were all smart and intrepid when they were six. Even now, they are better and more persevering than we are about figuring out their smartphones and video games. Transition to Algebra aims to tap that smart, intrepid, persevering spirit of puzzling things out and making sense of them by presenting mathematics based in common sense, not arbitrary rules.
This project is developing a collection of modules introducing key ideas of algebra in ways that complement the core curriculum when a school is offering double period algebra. The key habit of mind being developed is abstracting from calculation. Modules deal with the transition from arithmetic to algebra, rational numbers, expressions/equations/word problems, graphs and equations, geometry of algebra, and proportional reasoning. The target population is students in urban high poverty schools with a significant ELL sector.
Our hypothesis is that instructional materials focused on developing conceptual understanding and mathematical habits of mind can complement traditional skill-focused algebra instruction in ways that are engaging to students. Furthermore, they argue that using materials with such meta-cognitive aims will actually strengthen the learning of core algebraic concepts and skills.
The supplementary algebra modules are being developed by a form of design research. Concurrent with development and field test of the student and teacher materials, the investigators are addressing four research questions. The first two questions are focused on the effects of the intervention in developing student habits of mind and in improving their competence and confidence in algebra. The other two address the feasibility of implementing the new approach to double-period algebra in a variety of school settings. A small-scale quasi-experimental field test is being used to give preliminary estimates of the effectiveness of the instructional materials and the implementation guidelines. The core purpose of these research activities is to inform development and refinement of the student and teacher instructional materials.
Products of this development effort will be a valuable resource to schools as they devise strategies for helping all students master the essentials of elementary algebra.
This project is (1) conducting a qualitative study on the way facilitators use Math for All (MFA), an NSF-supported set of professional development materials for teachers who teach elementary school students with disabilities; (2) developing resources based on that study for teacher leaders and other facilitators of professional development; and (3) conducting fieldtests of the resources to examine their usefulness and impact.
This five-year research project has as its central aim the testing of the Target Inquiry (TI) model of teacher professional development with secondary school chemistry teachers. This model emphasizes the importance of the inquiry process in teaching and learning science by combining a research experience for teachers (RET) with curriculum adaptation and action research.
Inquiry is the foundation of teaching and learning and is therefore at the center of the TI model. The features of the TI model are designed to encourage and improve inquiry instruction by impacting teachers’ beliefs and attitudes, and content and pedagogical knowledge, as well as providing adequate resources and materials. The model integrates the core experiences (research experience for teachers (RET), materials adaptation, action research) with the central characteristics of high-quality PD programs (duration, cohort participation, active learning, coherence, and content-focus (Garet, et al., 2001)) in alignment with the National Science Education Professional Development Standards (NRC, 1996) (see TI model on website).
Although many teachers associate inquiry with research scientists, the underlying habits of mind by which one actively acquires new knowledge are the same for a scientist in a research laboratory, a student in a science classroom, or a teacher assessing student understanding (Llewellyn, 2005; AAAS, 1993). The RET will allow teachers to further develop habits of mind central to inquiry such as curiosity, persistence, reflection, skepticism, and creativity while gaining firsthand experience in how chemistry research is conducted. However, research has shown that affecting instructional change requires clear connections to classroom practices (Gess-Newsome, 2001), and many teachers have difficulty translating the laboratory research experience to classroom instruction that promotes inquiry habits of mind. Thus, the other core experiences and supporting features of TI are designed to build upon the RET, facilitating connections between the research laboratory and classroom practices, so that teachers can effectively engage their students in authentic inquiry activities.
At GVSU, the TI model has been translated into seven graduate chemistry education courses to be taken over three years, with a majority of work to be carried out over three summers. A five year study of the program, consisting of data from two cohorts shows that teachers beliefs about science inquiry become more aligned with those of practicing scientists following the RET experience; both the RET and materials adaptation experiences are required for significant gains in reformed teaching practices as measured by the RTOP instrument; teachers feel they have developed the skills to help them continue to reform their teaching practices; teachers believe that the use of inquiry instruction engages more of their students and results in better student confidence and retention; and student outcome measures show overall improvement in student content gains as teachers progress through the program.
To meet College and Career-Ready standards in mathematics, classroom instruction must change dramatically. As in past reform efforts, many look to professional development as a major force to propel this transformation, yet not enough is known about mathematics professional development programs that operate at scale in the United States. In this project, we evaluated one such program.
To meet College and Career-Ready standards in mathematics, classroom instruction must change dramatically. As in past reform efforts, many look to professional development as a major force to propel this transformation, yet not enough is known about mathematics professional development programs that operate at scale in the United States. In this project, we evaluated one such program by randomly assigning 105 teachers to either an “as is” control group or to receive professional development designed to a) improve mathematical knowledge for teaching and b) help teachers revise their instruction to be more cognitively demanding and student-centered. We found positive impacts on teachers’ mathematical knowledge for teaching, but no effects on teaching or student outcomes, suggesting that a modest increment in mathematical knowledge may not by itself be sufficient to improve instruction or student outcomes.
Several small-scale experimental classroom studies Star and Rittle-Johnson demonstrate the value of comparison in mathematics learning: Students who learned by comparing and contrasting alternative solution methods made greater gains in conceptual knowledge, procedural knowledge, and flexibility than those who studied the same solution methods one at a time. This study will extend that prior work by developing, piloting, and then evaluating the impact of comparison on students' learning of mathematics in a full-year algebra course.