Student's emerging inferential reasoning about samples and sampling

Theodosia Prodromou

Student's emerging inferential reasoning about samples and sampling

Theodosia Prodromou

STEM Education

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper investigates students' emerging inferential reasoning about samples and sampling through observation of 13- to 14-year-olds, challenged to infer aspects of an unknown population in an inquiry-based environment. This paper reports on how students working with TinkerPlots focus on changing aspects of the samples as the sample size grew larger. Students made connections to key statistical concepts during the process of growing samples and quantified the level of confidence about their informal statistical inferences. They generally recognized the relationship between the sample size and the confidence interval for a given confidence level.

Original language	English
Title of host publication	Mathematics: Traditions and [New] Practices - Proceedings of the AAMT-MERGA Conference
Editors	Julie Clark, Barry Kissane, Judith Mousley, Toby Spencer & Steve Thornton
Place of Publication	Adelaide, Australia
Publisher	Mathematics Education Research Group of Australasia (MERGA)
Pages	640-648
ISBN (Print)	9781875900695
Publication status	Published - 31 Dec 2011
Event	AAMT 23/MERGA 34: 23rd Biennial Conference of the Australian Association of Mathematics Teachers & 34th Annual Conference of the Mathematics Education Research Group of Australasia - Alice Springs, Australia Duration: 3 Jul 2011 → 7 Jul 2011

Conference

Conference	AAMT 23/MERGA 34: 23rd Biennial Conference of the Australian Association of Mathematics Teachers & 34th Annual Conference of the Mathematics Education Research Group of Australasia
City	Alice Springs, Australia
Period	3/07/11 → 7/07/11

Keywords

Secondary Education

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https://hdl.handle.net/1959.11/9925

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Prodromou, Theodosia. / Student's emerging inferential reasoning about samples and sampling. Mathematics: Traditions and [New] Practices - Proceedings of the AAMT-MERGA Conference. editor / Julie Clark ; Barry Kissane ; Judith Mousley ; Toby Spencer & Steve Thornton. Adelaide, Australia : Mathematics Education Research Group of Australasia (MERGA), 2011. pp. 640-648

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title = "Student's emerging inferential reasoning about samples and sampling",

abstract = "This paper investigates students' emerging inferential reasoning about samples and sampling through observation of 13- to 14-year-olds, challenged to infer aspects of an unknown population in an inquiry-based environment. This paper reports on how students working with TinkerPlots focus on changing aspects of the samples as the sample size grew larger. Students made connections to key statistical concepts during the process of growing samples and quantified the level of confidence about their informal statistical inferences. They generally recognized the relationship between the sample size and the confidence interval for a given confidence level.",

keywords = "Secondary Education",

author = "Theodosia Prodromou",

year = "2011",

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day = "31",

language = "English",

isbn = "9781875900695",

pages = "640--648",

editor = "Julie Clark and Barry Kissane and Judith Mousley and Thornton, \{Toby Spencer \& Steve\}",

booktitle = "Mathematics: Traditions and [New] Practices - Proceedings of the AAMT-MERGA Conference",

publisher = "Mathematics Education Research Group of Australasia (MERGA)",

note = "AAMT 23/MERGA 34: 23rd Biennial Conference of the Australian Association of Mathematics Teachers \& 34th Annual Conference of the Mathematics Education Research Group of Australasia ; Conference date: 03-07-2011 Through 07-07-2011",

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Prodromou, T 2011, Student's emerging inferential reasoning about samples and sampling. in J Clark, B Kissane, J Mousley & TSS Thornton (eds), Mathematics: Traditions and [New] Practices - Proceedings of the AAMT-MERGA Conference. Mathematics Education Research Group of Australasia (MERGA), Adelaide, Australia, pp. 640-648, AAMT 23/MERGA 34: 23rd Biennial Conference of the Australian Association of Mathematics Teachers & 34th Annual Conference of the Mathematics Education Research Group of Australasia, Alice Springs, Australia, 3/07/11. <https://hdl.handle.net/1959.11/9925>

Student's emerging inferential reasoning about samples and sampling. / Prodromou, Theodosia.
Mathematics: Traditions and [New] Practices - Proceedings of the AAMT-MERGA Conference. ed. / Julie Clark; Barry Kissane; Judith Mousley; Toby Spencer & Steve Thornton. Adelaide, Australia: Mathematics Education Research Group of Australasia (MERGA), 2011. p. 640-648.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper investigates students' emerging inferential reasoning about samples and sampling through observation of 13- to 14-year-olds, challenged to infer aspects of an unknown population in an inquiry-based environment. This paper reports on how students working with TinkerPlots focus on changing aspects of the samples as the sample size grew larger. Students made connections to key statistical concepts during the process of growing samples and quantified the level of confidence about their informal statistical inferences. They generally recognized the relationship between the sample size and the confidence interval for a given confidence level.

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ER -

Student's emerging inferential reasoning about samples and sampling

Abstract

Conference

Keywords

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