PST201F
TEACHING MATHEMATICS DEVELOPMENTALLY
Notes / Questoo for uoderstaodno- Aoseered
2018
INCLUDES SOLUTIONS TO STUDY GUIDE QUESTIONS
2
, SUMMARY
CHAPTER 1
Principles and standards for School mathematcs
• The equity principle
• All students must receive adequate support regardless of their race, gender, culture ect.
• The curriculum principle
• Curriculum must be coherent. Students must be helped to see that mathematics is a whole
that grows on each academic level and does not consist of isolated ideas.
• The teaching principle
• Educators must understand mathematic content that is taught fully, understand how students
learn including misconceptions they make, as well as select meaningful relatable tasks as well
as how to enhance understanding and learning.
• The learning principle
• Learning mathematics with understanding is necessary
• Learning is enhanced in classrooms where students students develop reasoning skills
through evaluating their own ideas and making mathematical conjectures.
• The assessment principle
• Ongoing observation and assessment as well as daily feedback on students progress.
Educators should continuously gather data on the students levels of understanding and
progress. Assessment should be goal orientated as well as research and curriculum
supported.
• The technology principle
• Calculators and computer are essential tools for teaching and doing mathematics. Technology
helps students to focus mathematical ideas, their ability to reason, and solve problems as well
as verify their solutions
The five content standards
1. Numbers and Operations
2. Algebra
3. Geometry
4. Measurement
5. Data analysis and probability
The five process standards
3
TEACHING MATHEMATICS DEVELOPMENTALLY
Notes / Questoo for uoderstaodno- Aoseered
2018
INCLUDES SOLUTIONS TO STUDY GUIDE QUESTIONS
2
, SUMMARY
CHAPTER 1
Principles and standards for School mathematcs
• The equity principle
• All students must receive adequate support regardless of their race, gender, culture ect.
• The curriculum principle
• Curriculum must be coherent. Students must be helped to see that mathematics is a whole
that grows on each academic level and does not consist of isolated ideas.
• The teaching principle
• Educators must understand mathematic content that is taught fully, understand how students
learn including misconceptions they make, as well as select meaningful relatable tasks as well
as how to enhance understanding and learning.
• The learning principle
• Learning mathematics with understanding is necessary
• Learning is enhanced in classrooms where students students develop reasoning skills
through evaluating their own ideas and making mathematical conjectures.
• The assessment principle
• Ongoing observation and assessment as well as daily feedback on students progress.
Educators should continuously gather data on the students levels of understanding and
progress. Assessment should be goal orientated as well as research and curriculum
supported.
• The technology principle
• Calculators and computer are essential tools for teaching and doing mathematics. Technology
helps students to focus mathematical ideas, their ability to reason, and solve problems as well
as verify their solutions
The five content standards
1. Numbers and Operations
2. Algebra
3. Geometry
4. Measurement
5. Data analysis and probability
The five process standards
3
