?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Interactions+between+instructional+approaches%2C+students'+reasoning+processes%2C+and+their+understanding+of+elementary+algebra&rft.creator=Warren%2C+Elizabeth+Anne&rft.subject=Thought+and+thinking&rft.subject=Students+Psychology&rft.subject=Algebra+Study+and+teaching+(Secondary)&rft.subject=thesis&rft.subject=doctoral&rft.subject=HERN&rft.description=This+research+explored+the+effectiveness+of+various+teaching+strategies+used+for+introducing+early+algebraic+concepts.+The+research+focused+on+investigating+three%0D%0Aapproaches+commonly+used+for+introducing+the+concept+of+a+variable%2C+namely%2C+generalising+from+tables+of+data%2C+generalising+from+visual+patterns%2C+and+establishing+the%0D%0Alinks+between+algebra+the+structural+aspects+of+the+number+system.+The+research+also+identified+specific+reasoning+processes+that+interact+with+these+strategies.%0D%0A%0D%0AThe+research+incorporated+two+investigations%2C+an+introductory+and+main+study.+One+hundred+and+sixteen+students+participated+in+the+introductory+study+and+379+students+participated+in+the+main+study.+The+age+of+the+students+ranged+from+12+years+6+months+to+15+years+and+10+months.+The+introductory+study+incorporated+the+development+and+trialing+tests+used+for+measuring+students'+reasoning+processes%2C+their+preference+for+a+visual+or+symbolic+approach+to+solution%2C+and+their+understanding+of+pre-algebra+and+early+algebra+ideas.+These+tests+were+reformulated+for+the+main+study.+An+analysis+of+the+students'+responses+indicated+a+number+of+areas+where+more+in-depth+information+would+help+identify+the+ways+in+which+students+reflected+on+basic+algebraic+concepts.+Forty+one%0D%0Astudents+were+selected+for+a+semi-structured+interview.%0D%0A%0D%0AThe+research+employed+a+multiple+measurement+approach.+The+first+stage+consisted+of+a+correlational+analysis.+This+analysis+teased+out+the+relationships+among+the+three+written+test.+The+next+stage+in+the+study+entailed+the+use+of+a+semi-structured+interview.+This+phase+was+considered+an+important+part+of+the+methodology+as+it+provided+insights+into+the+ways+students+think%2C+and+enabled+clarification%2C+extension%2C+and+interpretations+of+the%0D%0Ainformation+recorded+in+the+written+responses.+Implications+for+further+research%2C+for+classroom+teaching%2C+and+for+curriculum+development+for+introducing+the+concept+of+a%0D%0Avariable+are+discussed.&rft.publisher=Queensland+University+of+Technology&rft.date=1996&rft.type=Thesis&rft.relation=Warren%2C+Elizabeth+Anne+(1996)+Interactions+between+instructional+approaches%2C+students'+reasoning+processes%2C+and+their+understanding+of+elementary+algebra.+PhD+thesis%2C+Queensland+University+of+Technology.&rft.id_number=https%3A%2F%2Feprints.qut.edu.au%2F36526%2F&rft.rights=Copyright+Elizabeth+Anne+Warren