Mathematics Leadership Programme

TENTATIVE SCHEDULE OF TOPICS AND ACTIVITIES (TEACHER CANDIDATES)

The Summer Instiute has been designed to provide an overview of the Mathematics Leadership Programme and to introduce you to the variety of activiies and discussions that will take place during the mathematics classes.

Aug 28 Orientation and mathematics (joint with teachers)

We will start the day with a "hands-on" mathematical activiy which will be model for later activiies in the mathematics classes and for the kind of activiies that we wish to encourage in the programme as a whole. In the afternoon, we will use a variety of exercises and discussion questions to reflect on our previous mathematical experiences, both posiive and negative and, in particular to examine the common avoidance of the subject. This day will also include an overview and discussion of the entire programme.

Aug 29 Mathematics (joint)

Throughout this day, we will engage in 'authentic' mathematical activiy, that is, we will guess, discuss and collaborate in exploring mathematics. We will create experiences and investigations which structure your learning and guide your explorations. For this day, most of our activiies will have to do with number in a broad sense, though we will indicate how our approach will be used later in dealing with other concepts.

Fall/Winter programme
Thursdays, 5:30-7:30 pm and 5:30-8:30 for joint sessions with teachers
All sessions are in VH 3003

Fall 1995

Sept 14 Mathematics investigations (joint with teachers - 3 hours)

A continuation of our investigations of number, including investigations on bases, numeration systems, arihmetic operations, laws (commutative, associative, etc.), divisibiliy, algorihms, fractions, decimals, sequences, series.

Sep 28 Sets and Logic

Oct 5 Geometry, measurement and optimization

Asst. 2 due

Oct 12 Geometry, measurement and optimization (cont.)

Oct 19 Geometry, measurement and optimization (cont.)
Asst. 3 due

Oct 26 Curriculum investigations (joint with teachers - 3 hours)

Computer investigation with Geometry Sketchpad, followed by discussion of appropriateness of this or related tools.

Nov 2 Counting problems in a geometric context; the need for algebra; algebra investigations; hands-on materials for algebra.
Asst. 4 due

Nov 9 Algebra (cont.)

Nov 16 Algebra (cont.)
Asst. 5 due

Nov 23 Curriculum investigations (joint with teachers - 3 hours)

Geometric investigations and the school curriculum

Nov 30 Counting; binomial theorem, Pascal triangle

Asst. 6 due

Dec 7 No class -- York follows a Monday schedule today

Dec 11 Take-home examination and first term journal due

Winter, 1996

Jan 11 Counting (cont.)

Asst. 7 due

Jan 18 Counting (cont.)

Jan 25 Counting (cont.)

Asst. 8 due

Feb 1 Curriculum investigations (joint with teachers - 3 hours)

Pattern and generlization: algebraic investigations and the school curriculum

Feb 8 Optimization

Asst. 9 due

Feb 15 Optimization (cont.)

Feb 22 Optimization (cont.)

Asst. 10 due

Feb 29 Reading week

Mar 7 Curriculum investigations (joint with teachers - 3 hours)

Algebraic investigations and the school curriculum (cont.)

Mar 14 Probabiliy

Asst. 11 due

Mar 21 Probabiliy (cont.)

Mar 28 Curriculum investigations (joint with teachers - 3 hours)

Data management: probability/statistics investigations and the school curriculum
Asst 12 due