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Mathematics as a Teachable Moment

There are six different Teachable Moment Manuals – these differ from the Power of Ten materials in focus and scope.

  • The Power of Ten materials are aimed at providing visual tools for learning the basic facts and place value.
  • The Teachable Moment system provides a complete guide to all the major concepts in the curriculum including:

    number sense  space and shape  patterns and relations  data analysis  probability

Teachers who use the Teachable Moment Manuals are encouraged to use the Yearly Plan to develop their own personal and unique plan for delivering the curriculum. Teachers who work from strengths and interests that are in line with the community often become more enthusiastic about math and, as a result, so do their students.

The advantage of teaching in a more integrated way is that the curriculum is covered several times during the year and in a variety of contexts. Students learn and are assessed over longer periods of time; often with a better retention of the concepts studied and are likely more able to attach meaning to the material studied. The crux of the philosophy is meaning. Individual student meaning is facilitated when students are motivated – this can be enhanced by choice. Choice reduces stress because it gives the students a sense of control and often provides a personalized learning program with appropriate levels of challenge.

Students are encouraged to do the All the Facts sheet by doing the facts they know first; then to use strategies to learn the facts they need to know. Rigid timelines are not given, nor do students race to finish the assessment sheets. Because problems are often written by the students, they are able to make connections to their own previous learning within the context of their homes and community. A climate of trust is encouraged when the teacher and students focus on explanations of how problems are solved. Diversity is valued by asking the students if any of them can do the problem in a different way. The focus is on growth over longer periods of time – frequently not possible in a textbook format where teaching is focussed on one or two major concepts per chapter with little time for review.

The other major premise of the Teachable Moment Program is that every class is a multiage class. Teachers need to create opportunities for students who are working ‘below’, ‘at’ and ‘above’ the curriculum. When teachers “teach to a text”, they often teach only to the grade level; thus the third of students in the class operating below grade level and the other third operating above grade level are not challenged appropriately. In the opinion of the author, all classes contain a range of ability of at least four grade levels – not much greater than what is often referred to as a “split class.” Research shows that multi-age classes are very good places to learn, partly because the teacher understands that all students do not work at the same level. Traditional textbooks have a difficult time meeting the wide range that exists in all classes, split or not.

Each Teachable Moment Manual contains a section (or sections) on:

  • Philosophy
  • Developing Number Sense (How Many Ways, What Do I Know, All the Facts, and Making Connections)
  • Sports and the Olympics
  • Graphing (collecting and interpreting data) making connections to number sense and learning the basic facts • Games related to the basic facts that help develop number sense
  • Shape and Space (geometry and measurement)
  • Projects (in the intermediate years this includes designing a house, investing in the stock market, organizing a special dinner, investigating the characteristics of the students’ own grade or community, measurement, the newspaper, and others)
  • Evaluation (several models are included for the variety of schools, districts and formats that reporting takes – mostly assessment is based on criteria and, wherever possible, students are involved in the creation of the criteria)
  • Decimals, Fractions and Percents (grade four and above – this is a crucial part of the program for grades 4 to 8 as one day per week is designated to the study of the various forms of fractions and how they arise in different contexts such as graphs, sports, probability, and cooking)
  • Integers (grade 6 to 8 manuals only)
  • Algebraic Connections (grade 5 to 8 manuals only; but algebraic thinking is focussed on in every section)
  • Probability and Data Analysis (studied monthly through Projects and the Weekly Graph)
  • Tools for Teaching (this section includes teaching tips on timing, working with struggling students, integrating this program with other textual materials, etc.)
  • Appendix of student pages that will be used on a regular basis – segregated for
    ease of copying
  • Yearly Plans (a plan for each grade which integrates all four strands mentioned earlier, and outlines suggestions for teaching, as well as suggestions for collecting materials for an assessment portfolio – over a five-year period the teacher is encouraged to develop his/her own plan covering the entire curriculum, reflecting relevance to the local community, and using other
    resources available at the school). The Yearly Plans also contain a variety of ways to arrange a week in order to include all the operations and every strand of the curriculum.

There are six different Teachable Moment Manuals. All are similar to the description above. The tools and ideas transfer from grade to grade but the curriculum covered is different. Coverage of the curriculum is generated by the “Yearly Plan” which varies depending on grade level. When the grades covered in the manual are similar (as in the manual for grades 3 to 5 and grades 4 to 6) the main difference is in the Yearly Plan and many of the chapters may be identical.

Teachable Moment Manuals for grades 4 to 7, grades 5 to 8 and grades 6 to 8 have many identical chapters and a Yearly Plan for teaching each grade is included. A teacher of a class with two or more grades is advised to use the ‘higher grade’ as the reference for the Yearly Plan and assessment because the process and main teaching tools are similar for each grade level. The differences are scale and intensity. Expectations for decimals, fractions and percents are much different in a grade four class than in a grade five or six class.

  1. Teachable Moment – Gr. K–3  (771 pages)     CD $19.99
  2. Teachable Moment – Gr. 3–5  (967 pages)     CD $19.99
  3. Teachable Moment – Gr. 4–6  (960 pages)     CD $19.99
  4. Teachable Moment – Gr. 4–7  (1019 pages)   CD $19.99
  5. Teachable Moment – Gr. 6–8  (981 pages)     CD $19.99
  6. Teachable Moment – Gr. 5–8  (1017 pages)   CD $19.99


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