{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/105868"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/105868","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"An ERP investigation of symbolic and nonsymbolic fraction processing","abstract":"Fractions, though important, pose significant difficulties for children and adults. It has been suggested that this difficulty may stem from a lack of an underlying cognitive system that allows us direct, intuitive access to fraction magnitude. However, there is mounting evidence that processing ratios can indeed be intuitive (not accessed via explicit strategies). Currently, limitations in temporal resolution of previous studies means we still have little evidence of whether people have direct access to fraction magnitude, or whether they need to work through the whole-number numerator and denominator components to reach holistic fraction magnitude. We address limitations in temporal resolution by using event-related potentials (ERP) to analyze the time course of symbolic and nonsymbolic fraction processing. The improved temporal resolution with a fraction comparison task allow us to investigate whether access to fraction magnitude is both direct and intuitive. We find evidence for intra-fraction distance effects in P2p and holistic distance effects for nonsymbolic ratios in P3, providing evidence for a step-wise mechanism of fraction processing.","abstract_html":"Fractions, though important, pose significant difficulties for children and adults. It has been suggested that this difficulty may stem from a lack of an underlying cognitive system that allows us direct, intuitive access to fraction magnitude. However, there is mounting evidence that processing ratios can indeed be intuitive (not accessed via explicit strategies). Currently, limitations in temporal resolution of previous studies means we still have little evidence of whether people have direct access to fraction magnitude, or whether they need to work through the whole-number numerator and denominator components to reach holistic fraction magnitude. We address limitations in temporal resolution by using event-related potentials (ERP) to analyze the time course of symbolic and nonsymbolic fraction processing. The improved temporal resolution with a fraction comparison task allow us to investigate whether access to fraction magnitude is both direct and intuitive. We find evidence for intra-fraction distance effects in P2p and holistic distance effects for nonsymbolic ratios in P3, providing evidence for a step-wise mechanism of fraction processing.","abstract_has_math":false,"creators":["Jay, Victoria Lynn"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Psychology","degree_department":null,"school":null,"contributors":["Hyde, Daniel C"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-11-26T20:58:29Z","date_published":"2019-11-26T20:58:29Z","updated_at":"2026-07-22T22:24:45Z","subjects":["fraction processing","ratio processing","event-related potential","ERP"],"languages":["en"],"rights":["Copyright 2019 Victoria Jay"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/105868","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hyde, Daniel C"]},{"key":"dc:creator","label":"Author","values":["Jay, Victoria Lynn"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2019-11-26T20:58:29Z","2021-11-27T10:15:20Z","2019-06-17","2019-08"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Psychology"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["fraction processing","ratio processing","event-related potential","ERP"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2019 Victoria Jay"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/105868"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Fractions, though important, pose significant difficulties for children and adults. It has been suggested that this difficulty may stem from a lack of an underlying cognitive system that allows us direct, intuitive access to fraction magnitude. However, there is mounting evidence that processing ratios can indeed be intuitive (not accessed via explicit strategies). Currently, limitations in temporal resolution of previous studies means we still have little evidence of whether people have direct access to fraction magnitude, or whether they need to work through the whole-number numerator and denominator components to reach holistic fraction magnitude. We address limitations in temporal resolution by using event-related potentials (ERP) to analyze the time course of symbolic and nonsymbolic fraction processing. The improved temporal resolution with a fraction comparison task allow us to investigate whether access to fraction magnitude is both direct and intuitive. We find evidence for intra-fraction distance effects in P2p and holistic distance effects for nonsymbolic ratios in P3, providing evidence for a step-wise mechanism of fraction processing.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2021-08-01","The student, Victoria Jay, accepted the attached license on 2019-06-14 at 17:14.","The student, Victoria Jay, submitted this Thesis for approval on 2019-06-14 at 17:29.","This Thesis was approved for publication on 2019-06-17 at 15:37.","DSpace SAF Submission Ingestion Package generated from Vireo submission #14045 on 2019-11-26 at 13:59:55","Made available in DSpace on 2019-11-26T20:58:29Z (GMT). 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It has been suggested that this difficulty may stem from a lack of an underlying cognitive system that allows us direct, intuitive access to fraction magnitude. However, there is mounting evidence that processing ratios can indeed be intuitive (not accessed via explicit strategies). Currently, limitations in temporal resolution of previous studies means we still have little evidence of whether people have direct access to fraction magnitude, or whether they need to work through the whole-number numerator and denominator components to reach holistic fraction magnitude. We address limitations in temporal resolution by using event-related potentials (ERP) to analyze the time course of symbolic and nonsymbolic fraction processing. The improved temporal resolution with a fraction comparison task allow us to investigate whether access to fraction magnitude is both direct and intuitive. We find evidence for intra-fraction distance effects in P2p and holistic distance effects for nonsymbolic ratios in P3, providing evidence for a step-wise mechanism of fraction processing.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2021-08-01","The student, Victoria Jay, accepted the attached license on 2019-06-14 at 17:14.","The student, Victoria Jay, submitted this Thesis for approval on 2019-06-14 at 17:29.","This Thesis was approved for publication on 2019-06-17 at 15:37.","DSpace SAF Submission Ingestion Package generated from Vireo submission #14045 on 2019-11-26 at 13:59:55","Made available in DSpace on 2019-11-26T20:58:29Z (GMT). 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