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البث التجريبي لشبكة المعلم Experimental broadcasting of the Teachers' Network |
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Best Practices in Math Curriculum Standards Implementation (3)The CfBT Training Pack: The CfBT Training Pack is a very valuable tool of professional development. It contains a series of workshops that have been conducted during 2005 by a highly professional team, which provided training about the best practices to implement the curriculum standards of English, Science and Math. This Training Pack is so valuable that it is actually now considered to be a reference for a lot of trainers and advisory teachers while supporting teachers within the IS. The Teachers’ Network is happy to put this Training Pack online. Each series of workshops related to a specific subject is going to be put in the form of PDF folders.
The Math CfBT Training Pack : The Math CfBT Training Pack includes the full and comprehensive content of 5 full day mathematics workshops. The five days were divided in the form of 16 training sessions.
Aims of the workshops: The purpose of the five-day mathematics workshops is to consider the curriculum standards for mathematics and to discuss the implications for planning the curriculum, teaching, learning and assessment. The workshops aim to help subject leaders and teachers to:
Many of the sessions in the second workshop have different themes, depending on the age range of students in the school.
Objectives of each session Day 1: Developing reasoning Session 1: Mental mathematics By the end of the session teachers will: • have considered what is meant by mental mathematics; • have considered some strategies for helping students to improve their skills in doing mental mathematics.
Session 2: Proportional reasoning By the end of the session teachers will: • have considered strategies for teaching students about proportional reasoning; • have seen the need for a consistent approach; • have seen how visualisation can aid understanding.
Session 3: Geometric reasoning By the end of the session teachers will: • have considered some strategies for teaching students how to use implicit knowledge to reason in geometry; • have seen how practical work can help students understand mathematical concepts, rules and formulae.
Session 4: Geometric deduction By the end of the session teachers will: • have considered some strategies for teaching students how to use explicit and implicit information; • have seen how a consistent approach is essential for understanding the concept of deduction.
Day 2: Algebra and trigonometry Session 5: Generating graphs By the end of the session teachers will: • have considered some strategies for teaching graphs of functions using ICT; • have seen how visualisation can improve students’ understanding of graphs.
Session 6: Working with graphs By the end of the session teachers will: • have considered some strategies for teaching students how to solve equations; • have seen how visualisation can help students understand what is meant by a solution.
Session 7: Trigonometry By the end of the session teachers will: • have considered some strategies for teaching trigonometry; • have seen how doing practical work and using ICT can provide visual imagery that aids memorisation.
Day 3 (Grades 5 to 9): Number Session 8b: Fractions, decimals and percentages By the end of the session teachers will: • have discussed how students learn; • have seen how visualisation is a key component in teaching fractions; • have considered some strategies for teaching that are consistent across grades.
Session 9b: Calculators By the end of the session teachers will: • have considered how to teach students to use a calculator, and some of the difficulties that they can have; • have tried out some calculator activities to use in lessons.
Day 3 (Grades 10 to 12): Foundation and advanced mathematics Session 8c: Proof By the end of the session teachers will: • have considered the significance of proof; • have considered pedagogical issues in teaching proof; • have recognised features of different types of proof; • have generated some proofs.
Session 9c: Understanding and using functions By the end of the session teachers will: • have considered the significance of functions and their applications; • have recognised and described key features of different functions; • have generated some functions from situations and from other functions; • have considered some of the pedagogical issues in teaching about functions.
Session 10c: Applications of calculus By the end of the session teachers will: • have considered the significance of analytical calculus in mathematics and its applications; • have used calculus to describe features of polynomial and other functions; • have solved simple optimisation problems; • have looked at some mathematical models.
Day 4: Data handling Session 11: Collecting data By the end of the session teachers will: • have considered strategies for teaching students how to plan a statistical investigation; • have considered data types and how to collect relevant data for a statistical investigation.
Sessions 12 and 13: Working with data By the end of the session teachers will: • have considered strategies for teaching students to use data in statistics; • have discussed how data is analysed, represented and interpreted; • have done some calculations with data.
Day 5: Probability and statistics Session 14: Probability By the end of the session teachers will: • have considered difficulties students experience in learning about probability; • have considered strategies for teaching probability; • have discussed the language of probability; • have looked at random variables and probability distributions; • have done some calculations of probability.
Session 15: Statistical inference By the end of the session teachers will: • have been introduced to the idea of statistical inference; • have considered some difficulties in teaching and learning statistical inference; • have discussed introductory techniques and used the language of statistical inference; • have made some statistical inferences.
Session 16: The interactive whiteboard By the end of the session, teachers will: • have viewed and discussed some ICT resources; • have considered how the workshop should be followed up in school.
The files beneath represent the complete material of Workshop Three. The material of each workshop consists of the workshop’s:
To access the material of Workshop one, please click here. To access the material of Workshop two, please click here.
Material of Workshop Three: Power Point Presentations: Folder containing slides for sessions 1-16 in zipped format Slides for each session presented separately in the form of PowerPoint:
The Teacher's Pack:
The Trainer's Notes:
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