# Mathematics for Elementary Teachers I

Professor Hlas

hlascs (@) uwec.edu

Office hours

Childhood is a state of mind. It is an ongoing quest for learning.

—*Raph Koster in 'A Theory of Fun'*

## Course Information

This is the first of three mathematics courses specifically designed develop *conceptual understanding* of elementary mathematics. Often elementary mathematics is regarded as "easy", which is counterproductive for future teachers because this implies the math should be easy to learn. Instead, I hope preservice teachers in this course realize that future students to master the mathematics in various ways because of its fundamental nature.

Topics addressed include: problem solving, progressions for the Common Core State Standards for Mathematics, number systems, alternate algorithms, error patterns, and the fundamental theory of arithmetic.

More course information is posted on D2L.

### Goals

- Reconceptualize "elementary" mathematics as fundamental mathematics.
- Consider students' developmental levels for mathematical understanding.
- Introduce tenents of social constructivism by fostering community of learners.

### Structure

- Daily homework
- Daily quizzes
- Occasional readings with Q&A assignments
- Interview project
- Three examinations during class time
- Comprehensive final examination

### Required

- Productive disposition!
- Beckmann, S. (2014). Mathematics for Elementary Teachers with Activities, 4th edition (rental text)

Note: Calculators will **not** be allowed to remind preservice teachers of the learning difficulties involved for these topics.

### Research background

- Common Core State Standards
- Adding it up (2001)
- Mathematics learning in early childhood (p. 32-33, 2009)
- Knowing and teaching elementary mathematics (1999)
- Cognitively Guided Instruction
*Children's mathematics: Cognitively guided instruction*(1999)- I like it instead of maths (Moscardini, 2010)
- Programs that work

- Improve students' learning with effective learning techniques (Dunlosky, et al., 2013, page 45)
- Better learning through handwritting (Science Daily, 2011)