maths counts insights into lesson study 1. mairead guiney tomás twomey 5 th year higher level...

30
Maths Counts Insights into Lesson Study 1

Upload: preston-king

Post on 04-Jan-2016

214 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Maths Counts Insights into Lesson

Study

1

Page 2: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Scoil Mhuire Kanturk

• Mairead Guiney• Tomás Twomey• 5th Year Higher Level

• Carnival Games: Leaving Cert Probability

2

Page 3: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Insights into Lesson Study

• Introduction: Focus of Lesson• Student Learning : What we learned about students’

understanding based on data collected• Teaching Strategies: What we noticed about our own

teaching• Strengths & Weaknesses of adopting the Lesson

Study process

3

Page 4: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Introduction

Topic investigated • Leaving Cert Probability and Statistics

Resources used• Edmodo• Geogebra• Photographs• Worksheets

4

Page 5: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Introduction

• Develop a basis in probability and statistical understanding prior to exploring the topic in class

• Generate data or source data from other sources including the internet

• Evaluate the effectiveness of different displays in representing the findings of a statistical investigation

5

Page 6: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Reflections on the Lesson

• Student Learning : What we learned about students’ understanding based on data collected

• Teaching Strategies: What we noticed about our own teaching

6

Page 7: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Edmodo

7

Page 8: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Statistics Assignment

8

Page 9: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Student Learning

• Data Collected from the Lesson:1. Motivation2. Social Behaviour3. Academic e.g. samples of students’ work

9

Page 10: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

• What effective understanding of this topic looks like:

Effective Student Understanding

10

Page 11: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

11

Page 12: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

12

Page 13: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Assignment 3 – Carnival Games

13

Page 14: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Student Learning

• Data Collected from the Lesson:1. Motivation2. Social Behaviour3. Academic e.g. samples of students’ work

14

Page 15: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

• What effective understanding of this topic looks like:

Examples of Students’ Work

15

Page 16: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

16

Page 17: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

17

Page 18: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

18

Page 19: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

19

Page 20: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

20

Page 21: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

The Royal Guess

21

Queen of Darkness!

Winning Cards

Page 22: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

22

Page 23: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Summary of Student Learning

• Misconceptions/ Knowledge Gap• Expected value when two or more events• Concept of combined probabilities• Bernoulli Trials

23

Page 24: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Misconceptions

• Students realised their own misconceptions after completing various sections of Probability

• One student resubmitted after misconceptions were highlighted

24

Page 25: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Summary

• Once the topic was encountered in class the language and concepts were no longer alien to them which led to a greater understanding of the topic

• Due to the initial method of learning students found recollection of the theory and concepts easier on revisiting the topic 12 months later

25

Page 26: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Summary

• The understandings we gained regarding students’ learning in Statistics and Probability as a result of being involved in the research lesson

• Understanding after submission of assignments aided to understanding of topic when addressed in class

26

Page 27: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Teaching Strategies

What did I notice about my own teaching?• We would prefer to get students to present

their work to the class, which would allow for more discussion and understanding but the time constraints to complete the syllabus would not allow for this

• Misconceptions were easier to deal with in a formal class setting as you could relate it to their own student work

27

Page 28: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Teaching Strategies

Was it difficult to facilitate and sustain communication and collaboration during the

lesson?Edmodo:• No online interaction due to competitiveness• Groups would communicate more

28

Page 29: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Teaching Strategies

What changes would I make in the future, based on what I have learned in my teaching, to

address students’ misconceptions?

• Social Behaviour (paired/group work)

• Transition Year?

29

Page 30: Maths Counts Insights into Lesson Study 1. Mairead Guiney Tomás Twomey 5 th Year Higher Level Carnival Games: Leaving Cert Probability 2

Reflections on Lesson Study Process

Strengths & Weaknesses• As a mathematics team how has Lesson Study

impacted on the way we work with other colleagues?

• Personally, how has Lesson Study supported my growth as a teacher?

30