{"id":"https://openalex.org/W176021152","doi":null,"title":"How to do math with words: Learning algebra through peer discussions","display_name":"How to do math with words: Learning algebra through peer discussions","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W176021152","mag":"176021152"},"language":"en","primary_location":{"id":"mag:176021152","doi":null,"is_oa":false,"landing_page_url":"https://eric.ed.gov/?id=ED534157","pdf_url":null,"source":{"id":"https://openalex.org/S4306478302","display_name":"ProQuest LLC eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"ProQuest LLC eBooks","raw_type":null},"volume":null,"type":"book-chapter","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011558553","display_name":"William C. Zahner","orcid":"https://orcid.org/0000-0002-2823-0436","observed_orcids":["https://orcid.org/0000-0002-2823-0436"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"William Zahner","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2823-0436","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5011558553"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.861299991607666,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.861299991607666,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12522","display_name":"Mathematics Education and Pedagogy","score":0.09939999878406525,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10636","display_name":"Innovative Teaching and Learning Methods","score":0.005200000014156103,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algebra-learning","display_name":"algebra learning","score":0.9449999928474426},{"id":"https://openalex.org/keywords/peer-discussion","display_name":"peer discussion","score":0.9210000038146973},{"id":"https://openalex.org/keywords/collaborative-learning","display_name":"cooperative learning","score":0.6320000290870667},{"id":"https://openalex.org/keywords/math-word-problems","display_name":"mathematical word problems","score":0.5220000147819519},{"id":"https://openalex.org/keywords/algebra-instruction","display_name":"algebra instruction","score":0.41600000858306885},{"id":"https://openalex.org/keywords/peer-interaction","display_name":"peer interaction","score":0.3580000102519989}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5762362480163574},{"id":"https://openalex.org/C2984408293","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Math education","level":2,"score":0.5724195837974548},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4983949661254883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.419749915599823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3988904356956482},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18578645586967468}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:176021152","doi":null,"is_oa":false,"landing_page_url":"https://eric.ed.gov/?id=ED534157","pdf_url":null,"source":{"id":"https://openalex.org/S4306478302","display_name":"ProQuest LLC eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"ebook platform"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"ProQuest LLC eBooks","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4156000018119812,"display_name":"Quality education","id":"https://metadata.un.org/sdg/4"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W315535637","https://openalex.org/W3165237872","https://openalex.org/W2040342349","https://openalex.org/W7128755627","https://openalex.org/W2279484434","https://openalex.org/W1233529802","https://openalex.org/W1822503288","https://openalex.org/W3003307882","https://openalex.org/W2398726416","https://openalex.org/W3041485881"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2016-06-24T00:00:00"}
