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Downton, Ann; Sullivan, Peter – Educational Studies in Mathematics, 2017
While the general planning advice offered to mathematics teachers seems to be to start with simple examples and build complexity progressively, the research reported in this article is a contribution to the body of literature that argues the reverse. That is, posing of appropriately complex tasks may actually prompt the use of more sophisticated…
Descriptors: Problem Solving, Mathematical Aptitude, Mathematics Skills, Difficulty Level
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Sullivan, Peter; Griffioen, Mel; Gray, Hayley; Powers, Chris – Australian Primary Mathematics Classroom, 2009
The Task Types and Mathematics Learning project is investigating the opportunities and constraints that teachers experience when using particular types of mathematics tasks. Some assumptions underlying this aspect of the project are: (1) that teachers seeking a balanced curriculum choose to use a mix of types of tasks; (2) open-ended questions…
Descriptors: Mathematics Education, Faculty Development, Mathematics Instruction, Mathematics Curriculum
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Clarke, David; Sullivan, Peter – Australian Mathematics Teacher, 1990
Discussed is the case for problem solving in mathematics classrooms. The characteristics of "good" questions are identified. The assessment of questions and questioning techniques is considered. (CW)
Descriptors: Learning Activities, Mathematics Education, Mathematics Instruction, Problem Solving
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Sullivan, Peter; Clarke, David – Mathematics Education Research Journal, 1992
Examined the quality of responses of six classes of grade six students to four questions requiring multiple and generalized solutions posed under varying conditions. Results indicated that this type of question can be useful in classrooms because students can respond at a variety of levels. (13 references) (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Discussion (Teaching Technique), Elementary Education
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Sullivan, Peter; Clarke, David – Arithmetic Teacher, 1991
Presents three features of "Good" questions: requires students to do more than simply remember a strategy to answer; promotes student learning while answering the question; and have several acceptable answers. Considers how questions can be used to cater to the range of student abilities. (MDH)
Descriptors: Classroom Communication, Classroom Techniques, Developmental Tasks, Discovery Learning