Mathematics

Together, with diverse local, national, and international partners, the CRDG mathematics team carries out research, develops educational curricula for students and resources for teachers, and provides teacher professional development.

The mathematics team is guided by a set of core tenets that have been established over many decades of studying how curriculum can be used to influence the teaching and learning of mathematics.

  • Problem-solving is leveraged as the primary means for introducing and developing new topics.
  • A variety of communication strategies are used to make learning visible and increase opportunities for classroom interaction.
  • Ample opportunities for making connections are offered to students across a range of topics.
  • The development of mathematics understanding is designed to take place and be supported over time.
  • Challenging, yet accessible tasks are used to address the needs of a wide range of learners.

Projects

a modeling approach to algebra book cover

A Modeling Approach to Algebra is a curriculum for ninth-grade Algebra I students that uses aspects of mathematical modeling to interpret, understand, and represent problems as well as to test, revise approaches, and report on solutions.

math teachers circle logo

Math Teachers’ Circle of Hawai‘i (MaTCH) brings together classroom teachers, mathematicians, and mathematics educators once a month for problem solving fun! MaTCH sessions focus on enhancing teachers’ mathematical content knowledge through solving challenging mathematics tasks, as well as on pedagogical issues related to the Common Core State Standards of Mathematical Practice.

measure up graphic

Measure Up is an elementary grades research and development mathematics project that focuses on developing children’s algebraic thinking, conceptualization, and skills. The mathematics and instructional approach being studied focuses on how students use non-numeric quantities (i.e., length, area, volume, and weight) in a measurement context to develop understandings of mathematics concepts.

dev-team logo

Dev-Te@m is a materials development project based at the University of Michigan School of Education that is working in partnership with CRDG. Researchers from the CRDG Math Team are pilot testing the practice-focused Dev-TE@M professional development materials with in-service elementary mathematics teachers during the 2016–2017 school year and CRDG’s Marketing and Publication Services (MaPS) team is producing the Dev-TE@M materials for dissemination.

SELECTED CRDG MATHEMATICS MATERIALS

Algebra I: A Process ApproachThis algebra curriculum develops problem-solving processes, promotes open-ended inquiry, introduces concepts through problems, and paces instruction to allow time for developing concepts, generalizations, and skills.

Geometry: A Moving ExperienceGeometry: A Moving Experience is a high school curriculum that grounds students in the study of transformations to develop higher levels of thinking and support students’ ability to write proofs with understanding.

Reshaping Mathematics for UnderstandingReshaping Mathematics for Understanding is a set of middle school mathematics units that take a transformations-based approach in the study of mathematics. Important ideas such as measurement, proportional reasoning, and rational numbers are developed through transformational geometry.

Working ‘Round a ProblemWorking ‘Round a Problem is a selection of short problem-solving tasks, taken from other CRDG mathematics curriculum, for students in Grades 6–11. The tasks are designed for teachers to use as supplementary to their existing curriculum.

Write Way Journal PromptsWrite Way Journal Prompts is a set of prompts, organized in grade spans, for writing in mathematics. The prompts are designed to encourage students to make connections among topics and to reflect on their learning.

SELECTED PUBLICATIONS

Selected Peer-reviewed Journal Articles

Rao, K., Slovin, H., Zenigami, F., & Black, R. (in press). Challenges and supports for struggling learners in a student-centered mathematics classroom. Investigations in Mathematics Learning.

Venenciano, L. (in press). Using measurement as a cognitive tool in mathematics curriculum. The international journal for mathematics teaching and learning, special issue devoted to the heritage of Vasili Davydov.

Venenciano, L., & Heck, R. (2016). Proposing and testing a model to explain algebra preparedness. Educational Studies in Mathematics, 92, 21–35.

Selected Peer-reviewed Conference Proceedings

Capen, S., & Venenciano, L. (in press). Curriculum as a navigator: Crossing borders to higher levels of geometric reasoning. Proceeding of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ.

Venenciano, L., & Zenigami, F. (in press). Incorporating modeling investigations to enhance traditional Algebra I materials. Proceeding of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ.

Venenciano, L., Capen, S., & Zenigami, F. (2016). A modeling approach to college algebra, reforming developmental math. In K. V. Adolphson, & T. Olson (Eds.), Proceedings of the 43rd annual conference of the Research Council on Mathematics Learning, 124–131. Orlando, FL.

Yagi, S. (in press). An Exploration of First Grade Students’ Engagement in Mathematical Processes During Whole Group Discussions. Proceedings of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education conference. Tucson, AZ.

Yagi, S. (in press). Examining Mathematical Discourse: What it means to be student-centered. Proceedings of the 43rd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ.

Venenciano, L., Slovin, H., & Zenigami, F. (2015). Learning place value through a measurement context. In X. H. Sun, B. Kaur, & J. Novotna (Eds.), Proceedings of the ICMI Study 23: Primary mathematics study on whole number, 575–582. Macao, China. ISSN: 978-99965-1-066-3. Retrieved from http://www.umac.mo/fed/ICMI23/proceedings.html.

Curriculum Materials

Olson, J., Olson, M., Slovin, H., Venenciano, L., & Zenigami, F. (2015). A modeling approach to algebra, Student Edition, Second Edition. Honolulu, HI: Curriculum Research & Development Group, Marketing and Publishing Services, University of Hawai‘i.

Olson, J., Olson, M., Slovin, H., Venenciano, L., & Zenigami, F. (2015). A modeling approach to algebra, Teacher Edition, Second Edition. Honolulu, HI: Curriculum Research & Development Group, Marketing and Publishing Services, University of Hawai‘i.

Other Selected Unpublished Works

Venenciano, L., Yagi, S., Harrison, G., & Vallin, L. (Prepared on 2016, April) A summary of findings about the professional development for teaching Geometry, A Moving Experience, curriculum from the Geometry Learning Project. 6 pages.

Zenigami, F., Capen, S., & Venenciano, L. (Prepared on 2016, August). A report on the curriculum and professional development for Modeling Our World I from February 2012 – July 2016. 14 pages.

SELECTED PRESENTATIONS

Selected Peer-Reviewed Presentations, International

Capen, S., & Venenciano, L. (2016, November). Curriculum as a navigator: Crossing borders to higher levels of geometric reasoning. Proceeding of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ.

Venenciano, L., & Zenigami, F. (2016, November). Incorporating modeling investigations to enhance traditional Algebra I materials. Poster presented at the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ.

Yagi, S. (2016, November). An Exploration of First Grade Students’ Engagement in Mathematical Processes During Whole Group Discussions. Proceeding of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education conference. Tucson, AZ.

Yagi, S. (2016, November). Examining Mathematical Discourse: What it means to be student-centered. Proceeding of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ.

Venenciano, L. (2016, July). Using measurement as a vehicle for developing mathematics thinking. Paper presented at the 13th International Congress on Mathematical Education, Hamburg, Germany.

Yagi, S. (2016, July). An Exploration of First Grade Students’ Engagement in Mathematical Processes During Whole Group Discussions. Poster presented at the 13th International Congress on Mathematics Education. Hamburg, Germany.

Zenigami, F., & Venenciano, L. (2016, February). Algebra concepts through modeling: Making a curriculum dynamic for students and teachers through TI. Paper presented at the T3 international conference, Orlando, FL.

Venenciano, L., & Slovin, H. (2015, June). Learning place value through a measurement context. Paper presented at the International Commission on Mathematical Instruction Study 23, Primary Mathematics Study on Whole Number. Macao, Macau.

Peer-reviewed Presentations, National

Venenciano, L., Zenigami, F., & Yagi, S. (April, 2017). Problems worth talking about, posing purposeful questions for class discourse. Paper presentation at the National Council of Teachers of Mathematics annual meeting, San Antonio, TX.

Venenciano, L., Yagi, S., & Zenigami, F. (April, 2017). Coaching novice teachers by promoting mathematics curriculum as a thinking tool. Paper presentation at the National Council of Supervisors of Mathematics annual conference, San Antonio, TX.

Yagi, S., Zenigami, F., & Venenciano, L. (April, 2017). Developing an Understanding of the Number Line Through Measurement Concepts. Paper Presentation at the National Council of Teachers of Mathematics annual conference, San Antonio, TX.

Zenigami, F., & Venenciano, L. (2016, November). Promoting discourse and collaboration in developmental mathematics. Poster session presented at the American of Mathematical Association of Two-Year Colleges conference. Denver, CO.

Venenciano, L. (2016, April). Developing empirical thinking, Davydov’s theory in curriculum design. Paper presented at the National Council of Teachers of Mathematics annual conference. San Francisco, CA.

Venenciano, L., Capen, S., & Zenigami, F. (2016, February). A modeling approach to college algebra, reforming developmental math. Paper presented at the annual conference of the Research Council on Mathematics Learning, Orlando, FL.

Yagi, S.  (2016, February). Examining the Mathematical Discourse of a First Grade Learning Community.  Paper presented at the annual conference of the Research Council on Mathematics Learning, Orlando, FL.

Zenigami, F. & Venenciano, L. (2016, February). Blending divergent approaches to learning and teaching algebra—a case study. Paper presented at the annual conference of the Research Council on Mathematics Learning, Orlando, FL.

Venenciano, L., Manes, M., & Yagi, S. (2016, January). Problem solving to develop teachers’ mathematical practice and raise awareness for teaching practice. Paper presented at the annual conference of the Association of Mathematics Teacher Educators, Irvine, CA.

Olson, J., Olson, M., Zenigami, F., & Venenciano, L. (2015, April). Teaching and learning of algebra through models and modeling cycle. Paper presented at the National Council of Teachers of Mathematics annual meeting & exposition, Boston, MA.

Slovin, H., Zenigami, F., Olson, J., Olson, M., & Venenciano, L. (2015, April). Empowering teachers through ongoing personal self-sustaining professional development. Paper presented at the National Council of Supervisors of Mathematics annual conference, Boston, MA.

Venenciano, L., Zenigami, F., Slovin, H., Olson, M., & Olson, J. (2015, April). Perspectives for reasoning quantitatively, longterm effects of a nonnumeric approach. Paper presented at the National Council of Teachers of Mathematics research conference, Boston, MA.

Olson, M., Olson, T., Venenciano, L., & Olson, J. (2015, February). Connecting one’s own solution strategy with teaching mathematics, impressions from prospective teachers. Paper presented at the annual conference of the Association of Mathematics Teacher Educators, Orlando, FL.

Slovin, H., Zenigami, F., Olson, J., & Venenciano, L. (2015, February). Teachers empowered via personal self-sustaining professional development. Paper presented at the annual conference of the Research Council on Mathematics Learning, Las Vegas, NV.

Venenciano, L., Olson, J., Olson, M., & Capen, S. (2015, February). Students’ engagement, confidence, and self-efficacy for learning algebra. Paper presented at the annual conference of the Research Council on Mathematics Learning, Las Vegas, NV.

Peer-reviewed Presentations, Regional, State, and Local

Yagi, S., Venenciano, L., & Zenigami, F. (2016, October). A little professional development about big ideas: The number line. Poster presented at the 2016 Schools of the Future Conference. Honolulu, HI.

Yagi, S. (2016, January). First Grade Students’ Engagement in the Common Core State Standards for Mathematical Practice within a Mathematics Discourse Learning Community. Paper presented at the Hawaiʻi Education Research Association annual conference, Honolulu, HI.

Olson, M., Venenciano, L., Olson, J., Zenigami, F., & Slovin, H. (2015, January). An examination of achievement and affective factors when students who might struggle with algebra are enrolled in an innovative course build on modeling and the modeling cycle to support their learning of algebra. Paper presented at the Hawai‘i Education Research Association annual conference, Honolulu, HI.

Instructional digital materials

Dunn, H. H. (Production director), & Zenigami, F., & Venenciano, L. (Instructional designers). (2015). Akamai ‘Opae: an introduction to measurement [Tablet application]. Available from iTunes.

For More Information

Linda Venenciano
Assistant Professor
lhirashi@hawaii.edu

Fay Zenigami
Junior Specialist
zenigami@hawaii.edu

Seanyelle Yagi
Assistant Specialist
slyagi@hawaii.edu

Kara Suzuka
Assistant Specialist
klms@hawaii.edu

Ilisa Kea
Graduate Assistant
ikea@hawaii.edu