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Newman’s Newman’s error error analysis analysis Bernard Tola

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Page 1: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

Newman’s error Newman’s error analysisanalysis

Bernard Tola

Page 2: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

State Numeracy Programs Conference 20102

Making mistakes

Students can make mistakes in answering

numeracy questions for different reasons.

Newman’s research elaborated the different

hurdles in answering a contextual word problem

that can cause students to stumble. Perhaps the

two hurdles currently best known by teachers are

reading and comprehension.

Page 3: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

State Numeracy Programs Conference 20103

The hurdlesNewman identified that students may havedifficulty in• reading the words, • understanding what they have read, • transforming what they have read so as to be

able to form a course of action, • following through on procedures, or • encoding the result of a procedure to answer

the question.

Page 4: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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The 5 steps

1. Read the question to me.2. What is the question asking you to find

out?3. What method did (could) you use?4. Try doing it and as you are doing it tell

me what you are thinking.5. Now write down your answer.

Page 5: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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The purpose1. Read the question to me.2. What is the question asking

you to find out?3. What method could you use

to get the answer?4. Try doing it and as you are

doing it tell me what you are thinking.

5. Now write down your answer.

Encoding

ReadingComprehension

Transformation

Process skills

Page 6: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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An example

Page 7: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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James

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Newman’s method in the classroom

Which hurdle caused this student the most problems?

Encoding

Reading

Comprehension

Transformation

Process skills

Page 9: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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Newman’s method in the classroom

In using Newman’s error analysis in the classroom, it is recommended that you always go at least one step past where the first error occurs.

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Eugenia

Page 11: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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Newman’s method in the classroom

Which hurdle caused this student the most problems?

Encoding

Reading

Comprehension

Transformation

Process skills

Page 12: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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At your table

Page 13: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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Newman’s method in the classroom

Where do you think this student had problems?

Encoding

Reading

Comprehension

Transformation

Process skills

Page 14: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

State Numeracy Programs Conference 201014

At your table

Page 15: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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Newman’s method in the classroom

Where do you think this student had problems?

Encoding

Reading

Comprehension

Transformation

Process skills

Page 16: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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Using Newman’s in the classroom

Suppose a student puts up his hand and says, “I can’t do this question!”

Responding with a slight variation of Newman’s five questions can help to identify where the sticking point is.

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In the classroom

1. Read the question quietly to yourself and let

me know if you want help with any word.2. Can you tell me what the question is asking

you to find out?3. What could you do to get the answer?4. Try doing it and as you are doing it tell me

what you are thinking.5. Now write down your answer.

Page 18: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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SNAP taskThe first international cricket team to tour England was an Aboriginal team. The team won 14 matches, drew 19 matches and lost 14 matches.

How many matches were played?

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Cassy’s written response

Page 20: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

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Cassy

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Newman’s method in the classroom

Where do you think this student had problems?

Encoding

Reading

Comprehension

Transformation

Processing skills

Page 22: Newman’s error analysis Bernard Tola. State Numeracy Programs Conference 20102 Making mistakes Students can make mistakes in answering numeracy questions

State Numeracy Programs Conference 201022

SNAP 2006

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One to ponder

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Want to find out more about NEA?

• http://www.curriculumsupport.education.nsw.gov.au/primary/mathematics/numeracy/newman/index.htm

• http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/numeracy/newman/index.htm