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Reflecting on Teaching and Learning Mathematics

Reflecting on Teaching and Learning Mathematics. Se án Delaney Col áiste Mhuire Day 4. Overview of Day 4. Review of Day 3 Comment Cards Place Value Activities Video (Reinventing algorithms) Planning for Lab. Class Observation of Class Practical details about lab class. Review of Day 3.

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Reflecting on Teaching and Learning Mathematics

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  1. Reflecting on Teaching and Learning Mathematics Seán Delaney Coláiste Mhuire Day 4

  2. Overview of Day 4 • Review of Day 3 • Comment Cards • Place Value Activities • Video (Reinventing algorithms) • Planning for Lab. Class • Observation of Class • Practical details about lab class

  3. Review of Day 3 • JOURNAL ENTRY • DIVISION • Methods, meanings and estimation • MINORITY GROUPS • Social issues; cultural issues; age appropriate v ability appropriate; attendance; language; outdated view. • QUESTIONS • Are negative numbers positive and negative? http://mathforum.org/dr.math/faq/faq.integers.html • How do you introduce zero to children? • Who invented zero? • PLACE VALUE • The decimal point, like the cat’s eyes in the middle of the road does not move; use of Dienes blocks for representing decimals • To multiply a number by 10 move each number one place value column to the left. Put a zero in the vacated column, if it is necessary to hold the value. • 100 square

  4. Comment Cards • Would like some help with maths trails (examples if possible) • Suggestions for discussion in preparing a whole-school plan for mathematics: • How can we use the content to develop the curriculum skills/children’s ability to think? • What are we doing well? What can we improve? • Others???

  5. Activities for Teaching Place Value • Hundred square activities • Place value cards • See handout with sample tasks • Race to/from 50 (Ita’s house game) • Proportional and non-proportional materials (Dienes, lollipop sticks, chain links, money, counters, abacus) • Other ideas?

  6. Video (Children reinvent algorithms) • Term ‘Algorithm’ • Agree/disagree • Children encouraged to judge the correctness of their answers • Notice ‘wait time’ • View Video • Reflect in journal: Learning benefits? Could it work here?

  7. The Laboratory Class • Idea from John Dewey (Christian Brothers) • NOT a model lesson • Provides material for discussion • Video-tape

  8. Place Value in 3rd Class • Explore and identify place value in whole numbers • Read, write and order three-digit numbers • Round whole numbers to the nearest ten or hundred • Explore and identify place value in decimal numbers to one place of decimals

  9. Planning the Lesson for the Lab Class • Establish what the children know • Genuine mathematics (e.g. not spending time on drawing or reading) • Working on something that is ‘core’ • Planning to anticipate individual differences • Motivating the learners • Seating arrangement • Volunteer (a) to teach? (b) to videotape the class? • Planning! • Lesson Plan from Deborah Ball’s Website (http://www-personal.umich.edu/~dball/) • Consider lesson template. Lesson Plan

  10. Observing • Journal: What do you hope to learn from the lab class? What will you watch particularly closely? • What do we know about the children? • How do you think the children will respond to the lesson? • Make notes in your journals during the lesson. They will form the raw material for our subsequent discussion

  11. Practical Points • Video • Arrive a little later than usual (Lesson will begin at 9:50) • Drift in and quietly take up seats! • Try to be unobtrusive during lesson

  12. Plan for Day 5 • Lab Class • Analysis of lab class • Fraction problem(??) • Simulation games in mathematics • Review of week

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