%0 Journal Article %1 benson2002cbn %A Benson, A.P. %A Baroody, A.J. %D 2002 %J annual meeting of the American Educational Research Association, New Orleans, LA %K children mathematics number number-word %T The case of Blake: Number-word and number development %U http://eric.ed.gov/ERICWebPortal/contentdelivery/servlet/ERICServlet?accno=ED468107 %X Noting that current research on childrens mathematical development does not adequately detail how toddlers represent small numbers and the role that number words play in the development of number understanding, this study used a combination of methods to examine mathematical development in one toddler. Underlying the study was an Integrated Model (IM) of the development of preschoolers mathematical abilities that considers both how children represent numbers and what they represent in their mathematical thinking. Three data collection methods were used to examine the mathematical competence and development of one child, Blake, from age 18 through 36 months: (1) naturalistic observations conducted by the childs mother; (2) the microgenetic method, in which elected nonverbal matching and nonverbal production tasks were administered at 26 and 30 months; and (3) a teaching experiment, the Kumon mathematics program, involving teacher-directed drill and practice with worksheets to present math concepts incrementally. Findings revealed that Blake initially used isolated number words in a nonfunctional manner. In time, he used them with discrimination to identify the numerosity of small visible collections. Later, Blake used number words with increasing effectiveness to identify a partially visible collection and then nonvisible collections. During this study, Blake was unable to recognize the numerosity of collections composed of sequentially presented sounds. Observational data and sample Kumon worksheets are appended. (Contains 43 references.)

@article{benson2002cbn, abstract = {Noting that current research on childrens mathematical development does not adequately detail how toddlers represent small numbers and the role that number words play in the development of number understanding, this study used a combination of methods to examine mathematical development in one toddler. Underlying the study was an Integrated Model (IM) of the development of preschoolers mathematical abilities that considers both how children represent numbers and what they represent in their mathematical thinking. Three data collection methods were used to examine the mathematical competence and development of one child, Blake, from age 18 through 36 months: (1) naturalistic observations conducted by the childs mother; (2) the microgenetic method, in which elected nonverbal matching and nonverbal production tasks were administered at 26 and 30 months; and (3) a teaching experiment, the Kumon mathematics program, involving teacher-directed drill and practice with worksheets to present math concepts incrementally. Findings revealed that Blake initially used isolated number words in a nonfunctional manner. In time, he used them with discrimination to identify the numerosity of small visible collections. Later, Blake used number words with increasing effectiveness to identify a partially visible collection and then nonvisible collections. During this study, Blake was unable to recognize the numerosity of collections composed of sequentially presented sounds. Observational data and sample Kumon worksheets are appended. (Contains 43 references.)}, added-at = {2007-05-15T07:22:53.000+0200}, author = {Benson, A.P. and Baroody, A.J.}, biburl = {https://www.bibsonomy.org/bibtex/2b8ffdc48bac97fa56f565bc38b1f6d01/rmosvold}, interhash = {fdec4773872c44c6725e64faf1b542a9}, intrahash = {b8ffdc48bac97fa56f565bc38b1f6d01}, journal = {annual meeting of the American Educational Research Association, New Orleans, LA}, keywords = {children mathematics number number-word}, timestamp = {2007-05-15T07:22:53.000+0200}, title = {The case of Blake: Number-word and number development}, url = {http://eric.ed.gov/ERICWebPortal/contentdelivery/servlet/ERICServlet?accno=ED468107}, year = 2002 }