3.00 Credits
This course will develop a firm problem-solving foundation. Using skills and strategies applied in mathematical contexts practicing teachers will learn to gather data, work with others, present solutions orally to the whole class, and write up detailed solutions. This course will also provide practicing teachers a deeper understanding of probability and data representation and analysis. Special attention in this course will be given to children's typical error patterns, problem solving strategies, interpreting and assessing students' work and learning, and integration of the National Council of Teachers of Mathematics Process Standards and the Standards for Mathematical Practice. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Select appropriate strategies to solve a problem. 2. Solve challenging mathematical problems in groups and individually. 3. Write problem-solving summaries, communicate orally solution processes and conclusions, and improve collaboration skills. 4. Communicate data analysis and problem-solving strategies orally, visually, and in writing, as well as facilitate effective discourse in a positive mathematics learning environment. 5. Collect and organize data using tally marks, tables, pictographs, bar graphs, line graphs, frequency tables, line plots, stem-and-leaf plots, circle graphs, scatter plots, histograms, and box-and-whisker plots. 6. Select and interpret measures of central tendency (e.g. mean, median, and mode, including the impact of outliers). 7. Select and interpret measures of dispersion (e.g. range, variance, standard deviation, percentiles). 8. Identify and apply concepts of probability including: likely, unlikely, certain, impossible, sample space, experimental and theoretical, and recognition of probability as a value between 0 and 1. 9. Conduct experiments with and without replacement and compare theoretical and experimental probabilities. 10. Analyze misrepresentation and misleading data that exists in the real world, in order to become informed "consumers" of data. 11. Develop lesson plans including assessments to teach to your own students that incorporate the above outcomes as appropriate to your grade level. 12. Develop a unit test using a test blueprint. 13. Record reflections on how your mathematical and pedagogical thinking changes over the course of the semester. Prerequisite: Instructor permission.