Newman’s error analysis Bernard Tola 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. 2 State Numeracy Programs Conference 2010 The hurdles Newman identified that students may have difficulty 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. 3 State Numeracy Programs Conference 2010 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. 4 State Numeracy Programs Conference 2010 The purpose 1. 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. 5 State Numeracy Programs Conference 2010 Reading Comprehension Transformation Process skills Encoding An example 6 State Numeracy Programs Conference 2010 James 7 State Numeracy Programs Conference 2010 Newman’s method in the classroom Reading Comprehension Transformation Process skills Encoding Which hurdle caused this student the most problems? 8 State Numeracy Programs Conference 2010 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. 9 State Numeracy Programs Conference 2010 Eugenia 10 State Numeracy Programs Conference 2010 Newman’s method in the classroom Reading Comprehension Transformation Process skills Encoding Which hurdle caused this student the most problems? 11 State Numeracy Programs Conference 2010 At your table 12 State Numeracy Programs Conference 2010 Newman’s method in the classroom Reading Comprehension Transformation Process skills Encoding Where do you think this student had problems? 13 State Numeracy Programs Conference 2010 At your table 14 State Numeracy Programs Conference 2010 Newman’s method in the classroom Reading Comprehension Transformation Process skills Encoding Where do you think this student had problems? 15 State Numeracy Programs Conference 2010 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. 16 State Numeracy Programs Conference 2010 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. 17 State Numeracy Programs Conference 2010 SNAP task The 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? 18 State Numeracy Programs Conference 2010 Cassy’s written response 19 State Numeracy Programs Conference 2010 Cassy 20 State Numeracy Programs Conference 2010 Newman’s method in the classroom Reading Comprehension Transformation Processing skills Encoding Where do you think this student had problems? 21 State Numeracy Programs Conference 2010 SNAP 2006 22 State Numeracy Programs Conference 2010 One to ponder 23 State Numeracy Programs Conference 2010 24 State Numeracy Programs Conference 2010 Want to find out more about NEA? • http://www.curriculumsupport.education.nsw.g ov.au/primary/mathematics/numeracy/newma n/index.htm • http://www.curriculumsupport.education.nsw.g ov.au/secondary/mathematics/numeracy/new man/index.htm 25 State Numeracy Programs Conference 2010