Preview

personal background

Powerful Essays
Open Document
Open Document
2358 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
personal background
Effective Professional Development for Teachers of Mathematics: Key Principles from Research and a Program Embodying These Principles

Doug Clarke
Australian Catholic University (Melbourne, Australia)
Barbara Clarke
Monash University
(Victoria, Australia)

Abstract
A variety of curriculum and policy documents around the world have promoted a vision for mathematics teaching and learning that has growing support from the mathematics education community. There is increasing recognition, however, that without carefully planned professional development programs, the chances of widespread implementation of these exciting reforms is small. Support is essential for practising teachers who express an interest in teaching in a more “constructivist” way, with all that such teaching implies in terms of content, pedagogy, and assessment. This paper offers Strand II of the Study ten important principles from the research literature that can be used to guide the planning and implementation of professional development programs. This is followed by a discussion of the key features of a research and professional development program, the Early Numeracy Research Project (ENRP), in Victoria Australia. This project involved 70 schools, 350 teachers of five- to eight-year olds, and over 11,000 students. Information is provided on the three main components of this project: research-based growth points in young children’s mathematics learning; a one-to-one, task-based assessment interview; and a multi-level professional development program. The content and structure of the professional development program of the ENRP are then discussed in relation to the ten principles.

Effective Professional Development for Teachers of Mathematics: Key Principles from Research and a Program Embodying These Principles

Doug Clarke
Australian Catholic University (Melbourne, Australia)
Barbara Clarke
Monash University
(Victoria, Australia)

Ten Principles from Research on



References: Clarke, D. M. (1994). Ten key principles from research for the professional development of mathematics teachers. In D. B. Aichele & A. F. Croxford (Eds.), Professional development for teachers of mathematics (pp. 37-48). Reston, VA: NCTM. Clarke, D. M. (2001). Understanding, assessing and developing young children’s mathematical thinking: Research as powerful tool for professional growth. In J. Bobis, B. Perry, & M. Mitchelmore (Eds.), Numeracy and beyond (Proceedings of the 24th Annual Conference of the Mathematics Education Research Group of Australasia, Vol. 1, pp. 9-26). Sydney: MERGA. Clarke, D. M. (2003). Effective professional development: What does research say? (ACU/CEO Research Monograph Series). Melbourne, Australia: Mathematics Teaching and Learning Centre, Australian Catholic University. Clements, D. H., Swaminathan, S., Hannibal, M. A. Z., & Sarama, J. (1999). Young children’s conceptions of space. Journal for Research in Mathematics Education, 30(2), 192-212. Clements, M. A., & Ellerton, N. (1995). Assessing the effectiveness of pencil-and-paper tests for school mathematics. In MERGA (Eds.), Galtha (Proceedings of the 18th Annual Conference of the Mathematics Education Research Group of Australasia, pp. 184-188). Darwin: MERGA. Lehrer, R., & Chazan, D. (1998). Designing learning environments for developing understanding of geometry and space. Mahwah, NJ: Lawrence Erlbaum. Schlechty, P. (Ed .). (1983). Understanding and managing staff development in an urban school system. Washington, D.C.: National Institute of Education. Wright, R. (1998). An overview of a research-based framework for assessing and teaching early number learning. In C. Kanes, M. Goos, & E. Warren (Eds.), Teaching mathematics in new times (Proceedings of 21st Annual Conference of the Mathematics Education Research Group of Australasia, pp. 701-708). Brisbane: MERGA.

You May Also Find These Documents Helpful

  • Satisfactory Essays

    WeekOneTeamWorkEditTwo

    • 608 Words
    • 3 Pages

    References: Sarama, J., & Clements, D. H. (2006). Mathematics in kindergarten. (61 ed., Vol. 5, p. 38). YC Young Children. Retrieved from http://media.proquest.com.ezproxy.apollolibrary.com/media/pq/classic/doc/1129349361/fmt/pi/rep/NONE?hl=&cit:auth=Sarama, Julie;Clements, Douglas H&cit:title=Mathematics in Kindergarten&cit:pub…

    • 608 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Mth/157 Final Paper

    • 1933 Words
    • 8 Pages

    This course is the second in a two-part series designed for K–8 preservice teachers to address the conceptual framework for mathematics taught in elementary school. The focus of Part Two will be on measurement, geometry, probability, and data analysis. The relationship of the course concepts to the National Council of Teachers of Mathematics Standards for K–8 instruction is also addressed.…

    • 1933 Words
    • 8 Pages
    Satisfactory Essays
  • Satisfactory Essays

    This course is the first of a two-part series designed for k-8 pre-service teachers to address the conceptual framework for mathematics taught in elementary school. The focus of this course was on real numbers properties, patterns, operations and algebraic reasoning, and problem solving. The relationship of the course concepts to the National Council of Teachers of Mathematics Standards for k-8 instruction was also addressed.…

    • 661 Words
    • 3 Pages
    Satisfactory Essays
  • Good Essays

    Marilyn Burns, the author of the article "Nine Ways to Catch Kids Up" realizes that a handful of students are at risk in each classroom. Burns came into this realization after talking with a student named Paul about multiplication. She discusses three issues that are essential to teaching mathematics. This includes helping students make the connections among mathematical ideas, to build the new information on the student's previous learning foundation, and to accompany correct answers with an explanation.…

    • 506 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Numeracy development is important for all children as maths is an important part of everyday life. The way in which maths is taught has changed greatly over the years. When I was at school we were taught one method to reach one answer. Now, particularly in early primary phase, children are taught different methods to reach an answer, which includes different methods of working out and which also develops their investigation skills. For example, by the time children reach year six, the different methods they would have been taught for addition would be number lines, partitioning, compact method and expanded method. For lower ability children, they could use resources to aid them in reaching their answer, such as cubes, diennes, number squares and numicon. Plus visual aids around the classroom. The end goal means more students will be able to solve a mathematical problem, independently, using a method that suits them.…

    • 1528 Words
    • 7 Pages
    Good Essays
  • Good Essays

    590). Even though CA Johnson High School’s Report Card showed that teachers took part in approximately 23 professional developments during the 2008 academic year, Mano Singham (2003) communicates the Schoenfeld analysis of Pittsburgh schools suggesting that sustained programs should administer 10 years of continues professional development for teachers (p. 589). During such times, teachers would have an opportunity to focus their attention on developing strategies (e.g. “collaborative study, observation knowledge of curricula, and lesson refinement as apart of teachers’ ongoing daily responsibilities) aimed at moving students, regardless of race, ethnicity, economic status, to “where we believe they should be” (Singham, p.…

    • 697 Words
    • 3 Pages
    Good Essays
  • Good Essays

    3. Problem Solving, Reasoning and Numeracy: Developing a growing understanding of problem solving and numbers, through stories, songs, games and play. Children should become comfortable with numbers and use language such as 'heavier than' or 'bigger'.…

    • 711 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Charlotte Danielson has created a professional practice model that entails the areas on improvement and effectiveness of teachers. Breaking down the framework into domains: 1. Planning and Preparation, 2. The Classroom Environment, 3. Instruction, 4. Professional Responsibilities. This framework allows for self assessment in addition to a rubric for administration and district level feedback. Creating opportunities for teacher to understand the Danielson model should enhance their understanding of what is expected and evaluated.…

    • 330 Words
    • 2 Pages
    Good Essays
  • Powerful Essays

    Wk7AssgnNixL

    • 1812 Words
    • 8 Pages

    References: Beckmann, S. (2014a, p.316). Mathematics for elementary teachers with activities (4th ed.). Upper Saddle River, NJ: Pearson.edu…

    • 1812 Words
    • 8 Pages
    Powerful Essays
  • Best Essays

    Bryant, B., Bryant, D., Kethley, C., Kim, S., Pool, C., & Seo, Y. (2008, Winter2008). Preventing Mathematics Difficulties in the Primary Grades: The Critical Features of Instruction in Textbooks as Part of the Equation. Learning Disability Quarterly, 31(1), 21-35. Retrieved February 16, 2009, from Academic Search Premier database.…

    • 3490 Words
    • 14 Pages
    Best Essays
  • Good Essays

    The aims and importance of learning provision for numeracy development are to ensure all students understand that maths is a vital part of everyday life and will continue to be used throughout their life. Primary schools will teach students to learn various methods and techniques to be able to reach the correct answer. The end goal means more students will be able to solve a mathematical problem, independently, using a method that suits them. They can then develop their learning to improve their knowledge and apply it to real life situations; such as counting in groups of numbers such as 5’s or 10’s, which in turn can be applied when paying for shopping with money. As students progress they can build on these skills, by recording the levels of achievement, they can be supported to help fully access the curriculum.…

    • 762 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    Miss

    • 4194 Words
    • 17 Pages

    Pound, L. (2010) ‘Born mathematical’ in Miller, L. Cable, C. and Goodliff, G. Supporting Children’s Learning in the Early Years, Oxon, David Fulton.…

    • 4194 Words
    • 17 Pages
    Powerful Essays
  • Good Essays

    Observing Math Instruction

    • 1873 Words
    • 8 Pages

    On September 20, 2012 I observed in Mr. Jones 1st grade math class. The lesson was based on how to teach addition and subtraction to first grader. In this paper I will be observing an elementary mathematic lesson based on a math standards. The standards The National Council of Teachers of Mathematic (NCTM) are to guide educators on how to teach math the correct way.…

    • 1873 Words
    • 8 Pages
    Good Essays
  • Good Essays

    maths guide

    • 579 Words
    • 3 Pages

    Students should be able to identify that mathematics is an essential skill that is valued by employers and used in everyday life. By developing effective teaching strategies a teacher can provide a student with the tools and knowledge to become mathematically proficient.…

    • 579 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Tina Bruce Literacy

    • 687 Words
    • 3 Pages

    Children need adults around them that understand that numeracy is not solely related to numbers and calculations. Mathematical concepts occur in play-based environments, which allow children to problem solve daily with the help of a MKO. For example, a child playing with sand can learn mathematical concepts by putting scoops of sands into containers and the adult asking the child questions, such as, which is heavier or lighter or will that container fit into that container. Play allows for many mathematical concepts through exploring shapes, patterns, relationship between objects and going fast or slow during outdoor play. Tina Bruce recommends that conversations with children and adults enhance critical thinking, logic and are part of becoming competent in mathematics (Bruce et al., 2011,…

    • 687 Words
    • 3 Pages
    Satisfactory Essays