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CHAPTER TWO

APPENDIX 4 CLASS AND LESSON OBSERVATION

Date: ________________ Grade: ____________ Number of learners: ___________

Topic/Lesson: _______________________________________________________________

Brief description of a lesson:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Learning environment:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Introduction of topic:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Prior knowledge identified:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Representations and Examples:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Identifies and addresses errors and misconceptions:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Teaching Resources:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Lesson presentation:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Learner involvement:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Learner activities:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Learner Assessment:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Feedback on learner assessment:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Teacher methodology (more than one method used?):

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

Evidence of Lesson planning/preparation:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

General comments:

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

___________________________________________________________________________

APPENDIX 5

School of Education, College of Humanities, University of KwaZulu-Natal,

Edgewood Campus, Dear Principal

INFORMED CONSENT LETTER

My name is Abednigo Sibusiso Nojiyeza. I am a Masters candidate studying at the University of KwaZulu-Natal, Edgewood campus, South Africa. I am interested in conducting a study in your school in Grade 11 mathematics classes. The title of my research topic is: Exploring Grade 11 mathematics teachers’ Pedagogical Content Knowledge when teaching Euclidean Geometry.

To gather the information, I am interested in asking you some questions.

Please note that:

• Your confidentiality is guaranteed as your inputs will not be attributed to you in person, but reported only as a population member opinion.

• The interview may last for about 45 minutes to 1 hour.

• Any information given by you cannot be used against you, and the collected data will be used for purposes of this research only.

• Data will be stored in secure storage and destroyed after 5 years.

• You have a choice to participate, not participate or stop participating in the research. You will not be penalized for taking such an action.

• Your involvement is purely for academic purposes only, and there are no financial benefits involved.

• If you are willing to be interviewed, please indicate (by ticking as applicable) whether or not you are willing to allow the interview to be recorded by the following equipment:

Equipment Willing Not willing

Audio equipment

Photographic equipment Video equipment

I can be contacted at:

Email: [email protected] Cell: 0833487481

My supervisor is Dr.Jayaluxmi Naidoo who is located at the School of Education, Edgewood campus of the University of KwaZulu-Natal.

Contact details: email: [email protected] Phone number: +27312601127.

You may also contact the Research Office through:

Ms P Ximba (HSSREC Research Office) Tel: 031 260 3587

Email: [email protected])

Thank you for your contribution to this research.

DECLARATION

I………(full names of participant) hereby confirm that I understand the contents of this document and the nature of the research project, and I consent to participating in the research project.

I understand that I am at liberty to withdraw from the project at any time, should I so desire.

SIGNATURE OF PARTICIPANT DATE

……… ………

APPENDIX 6

School of Education, College of Humanities, University of KwaZulu-Natal,

Edgewood Campus, Dear Grade 11 Mathematics Teacher

INFORMED CONSENT LETTER

My name is Abednigo Sibusiso Nojiyeza. I am a Masters candidate studying at the University of KwaZulu-Natal, Edgewood campus, South Africa. I am interested in conducting a study in your school in Grade 11 mathematics classes. The title of my research topic is: Exploring Grade 11 mathematics teachers’ Pedagogical Content Knowledge when teaching Euclidean Geometry.

To gather the information, I am interested in asking you some questions.

Please note that:

• Your confidentiality is guaranteed as your inputs will not be attributed to you in person, but reported only as a population member opinion.

• The interview may last for about 45 minutes to 1 hour.

• Any information given by you cannot be used against you, and the collected data will be used for purposes of this research only.

• Data will be stored in secure storage and destroyed after 5 years.

• You have a choice to participate, not participate or stop participating in the research. You will not be penalized for taking such an action.

• Your involvement is purely for academic purposes only, and there are no financial benefits involved.

• If you are willing to be interviewed, please indicate (by ticking as applicable) whether or not you are willing to allow the interview to be recorded by the following equipment:

Equipment Willing Not willing

Audio equipment

Photographic equipment Video equipment

I can be contacted at:

Email: [email protected] Cell: 0833487481

My supervisor is Dr.Jayaluxmi Naidoo who is located at the School of Education, Edgewood campus of the University of KwaZulu-Natal.

Contact details: email: [email protected] Phone number: +27312601127.

You may also contact the Research Office through:

Ms P Ximba (HSSREC Research Office) Tel: 031 260 3587

Email: [email protected])

Thank you for your contribution to this research.

DECLARATION

I………(full names of participant) hereby confirm that I understand the contents of this document and the nature of the research project, and I consent to participating in the research project.

I understand that I am at liberty to withdraw from the project at any time, should I so desire.

SIGNATURE OF PARTICIPANT DATE

……… ………

APPENDIX 7

School of Education, College of Humanities, University of KwaZulu-Natal,

Edgewood Campus, Dear Parent

INFORMED CONSENT LETTER

My name is Abednigo Sibusiso Nojiyeza. I am a Masters candidate studying at the University of KwaZulu-Natal, Edgewood campus, South Africa. I am interested in conducting a study in your school in Grade 11 mathematics classes. The title of my research topic is: Exploring Grade 11 mathematics teachers’ Pedagogical Content Knowledge when teaching Euclidean Geometry.

To gather the information, I am interested in asking you some questions.

Please note that:

• Your confidentiality is guaranteed as your inputs will not be attributed to you in person, but reported only as a population member opinion.

• The interview may last for about 45 minutes to 1 hour.

• Any information given by you cannot be used against you, and the collected data will be used for purposes of this research only.

• Data will be stored in secure storage and destroyed after 5 years.

• You have a choice to participate, not participate or stop participating in the research. You will not be penalized for taking such an action.

• Your involvement is purely for academic purposes only, and there are no financial benefits involved.

• If you are willing to be interviewed, please indicate (by ticking as applicable) whether or not you are willing to allow the interview to be recorded by the following equipment:

Equipment Willing Not willing

Audio equipment

Photographic equipment Video equipment

I can be contacted at:

Email: [email protected] Cell: 0833487481

My supervisor is Dr.Jayaluxmi Naidoo who is located at the School of Education, Edgewood campus of the University of KwaZulu-Natal.

Contact details: email: [email protected] Phone number: +27312601127.

You may also contact the Research Office through:

Ms P Ximba (HSSREC Research Office) Tel: 031 260 3587

Email: [email protected])

Thank you for your contribution to this research.

DECLARATION

I………(full names of participant) hereby confirm that I understand the contents of this document and the nature of the research project, and I consent to participating in the research project.

I understand that I am at liberty to withdraw from the project at any time, should I so desire.

SIGNATURE OF PARENT DATE

……… ………..

APPENDIX 8

School of Education, College of Humanities, University of KwaZulu-Natal,

Edgewood Campus, Dear Grade 11 Mathematics learner

INFORMED CONSENT LETTER

My name is Abednigo Sibusiso Nojiyeza. I am a Masters candidate studying at the University of KwaZulu-Natal, Edgewood campus, South Africa. I am interested in conducting a study in your school in Grade 11 mathematics classes. The title of my research topic is: Exploring Grade 11 mathematics teachers’ Pedagogical Content Knowledge when teaching Euclidean Geometry.

To gather the information, I am interested in asking you some questions.

Please note that:

• Your confidentiality is guaranteed as your inputs will not be attributed to you in person, but reported only as a population member opinion.

• The interview may last for about 45 minutes to 1 hour.

• Any information given by you cannot be used against you, and the collected data will be used for purposes of this research only.

• Data will be stored in secure storage and destroyed after 5 years.

• You have a choice to participate, not participate or stop participating in the research. You will not be penalized for taking such an action.

• Your involvement is purely for academic purposes only, and there are no financial benefits involved.

• If you are willing to be interviewed, please indicate (by ticking as applicable) whether or not you are willing to allow the interview to be recorded by the following equipment:

Equipment Willing Not willing

Audio equipment

Photographic equipment Video equipment

I can be contacted at:

Email: [email protected] Cell: 0833487481

My supervisor is Dr.Jayaluxmi Naidoo who is located at the School of Education, Edgewood campus of the University of KwaZulu-Natal.

Contact details: email: [email protected] Phone number: +27312601127.

You may also contact the Research Office through:

Ms P Ximba (HSSREC Research Office) Tel: 031 260 3587

Email: [email protected])

Thank you for your contribution to this research.

DECLARATION

I……… (full names of participant) hereby confirm that I understand the contents of this document and the nature of the research project, and I consent to participating in the research project.

I understand that I am at liberty to withdraw from the project at any time, should I so desire.

SIGNATURE OF PARTICIPANT DATE

……… ………

SIGNATURE OF PARENT (If participant is a minor) DATE

……… ………..

APPENDIX 9