{"id":{"repo_id":"brazil-ufpb","oai_identifier":"oai:repositorio.ufpb.br:123456789/30"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-ufpb/oai:repositorio.ufpb.br:123456789/30","repository":{"repo_id":"brazil-ufpb","name":"Brazil UFPB","base_url":"https://repositorio.ufpb.br/oai/request"},"display":{"title":"A problematização por meio do GeoGebra: Uma proposta de atividades para o ensino de funções.","abstract":"The Curriculum Guidelines for Secondary Schools (OCEM) and the National Curriculum for Secondary Schools (PCNEM) advise that they are integrated into the basic curriculum components, such as mathematics, physics and chemistry, technological resources that will enhance the teaching-learning educational content covered in these components. With regard to mathematics, there are several dynamic geometry software to facilitate the work of both teacher and student, is one such software GeoGebra that besides being a free software has great potential to explore the properties of graphs functions, activities will be presented here with the linear functions, affine, quadratic, exponential and logarithmic functions, can be explored issues such as growth, decrease, and it is possible to relate the variables of the functions in question, an example is to relate the definition to calculate the size the circumference of a circle C(x)=2πx, where x is the radius of the circle with its radius (x). to accomplish this research were proposed four activities with their solutions, by means of GeoGebra, analysis and teaching. After the expected result is that the teacher has a tutorial which helps in the process of teaching practice, especially for the student's first year of high school, addressing the concept of functions. Here is a suggestion of instructional sequence that can be crafted with students at the school, the sequence is: objectives, content,indication, estimated time, materials needed, issues research, evaluation, observations on the sequence.","abstract_html":"The Curriculum Guidelines for Secondary Schools (OCEM) and the National Curriculum for Secondary Schools (PCNEM) advise that they are integrated into the basic curriculum components, such as mathematics, physics and chemistry, technological resources that will enhance the teaching-learning educational content covered in these components. With regard to mathematics, there are several dynamic geometry software to facilitate the work of both teacher and student, is one such software GeoGebra that besides being a free software has great potential to explore the properties of graphs functions, activities will be presented here with the linear functions, affine, quadratic, exponential and logarithmic functions, can be explored issues such as growth, decrease, and it is possible to relate the variables of the functions in question, an example is to relate the definition to calculate the size the circumference of a circle C(x)=2πx, where x is the radius of the circle with its radius (x). to accomplish this research were proposed four activities with their solutions, by means of GeoGebra, analysis and teaching. After the expected result is that the teacher has a tutorial which helps in the process of teaching practice, especially for the student&#x27;s first year of high school, addressing the concept of functions. Here is a suggestion of instructional sequence that can be crafted with students at the school, the sequence is: objectives, content,indication, estimated time, materials needed, issues research, evaluation, observations on the sequence.","abstract_has_math":false,"creators":["Santana, João Paulo dos Santos."],"institution":"Matemática","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-08-14","date_published":"2012-08-14","updated_at":"2026-07-24T01:17:51Z","subjects":["Ensino e aprendizagem da matemática","Métodos matemáticos","Funções matemáticas","Instrumentos tecnológicos","Teaching and learning mathematics","Mathematical methods","Mathematical functions","Technological instruments","GeoGebra"],"languages":["pt"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://repositorio.ufpb.br/jspui/handle/123456789/30","outbound_label":"Repository record","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Santana, João Paulo dos Santos."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2012-08-14T18:42:11Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2012-08-14T18:42:11Z"]},{"key":"dc:date.issued","label":"Date","values":["2012-08-14"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Matemática"]},{"key":"dc:type","label":"Dc Type","values":["TCC"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Ensino e aprendizagem da matemática","Métodos matemáticos","Funções matemáticas","Instrumentos tecnológicos","Teaching and learning mathematics","Mathematical methods","Mathematical functions","Technological instruments","GeoGebra"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["pt"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://repositorio.ufpb.br/jspui/handle/123456789/30"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The Curriculum Guidelines for Secondary Schools (OCEM) and the National Curriculum for Secondary Schools (PCNEM) advise that they are integrated into the basic curriculum components, such as mathematics, physics and chemistry, technological resources that will enhance the teaching-learning educational content covered in these components. With regard to mathematics, there are several dynamic geometry software to facilitate the work of both teacher and student, is one such software GeoGebra that besides being a free software has great potential to explore the properties of graphs functions, activities will be presented here with the linear functions, affine, quadratic, exponential and logarithmic functions, can be explored issues such as growth, decrease, and it is possible to relate the variables of the functions in question, an example is to relate the definition to calculate the size the circumference of a circle C(x)=2πx, where x is the radius of the circle with its radius (x). to accomplish this research were proposed four activities with their solutions, by means of GeoGebra, analysis and teaching. After the expected result is that the teacher has a tutorial which helps in the process of teaching practice, especially for the student's first year of high school, addressing the concept of functions. Here is a suggestion of instructional sequence that can be crafted with students at the school, the sequence is: objectives, content,indication, estimated time, materials needed, issues research, evaluation, observations on the sequence."]},{"key":"dc:title","label":"Title","values":["A problematização por meio do GeoGebra: Uma proposta de atividades para o ensino de funções."]}]}],"canonical_facts":{"dc:creator":["Santana, João Paulo dos Santos."],"dc:date.accessioned":["2012-08-14T18:42:11Z"],"dc:date.available":["2012-08-14T18:42:11Z"],"dc:date.issued":["2012-08-14"],"dc:description.abstract":["The Curriculum Guidelines for Secondary Schools (OCEM) and the National Curriculum for Secondary Schools (PCNEM) advise that they are integrated into the basic curriculum components, such as mathematics, physics and chemistry, technological resources that will enhance the teaching-learning educational content covered in these components. With regard to mathematics, there are several dynamic geometry software to facilitate the work of both teacher and student, is one such software GeoGebra that besides being a free software has great potential to explore the properties of graphs functions, activities will be presented here with the linear functions, affine, quadratic, exponential and logarithmic functions, can be explored issues such as growth, decrease, and it is possible to relate the variables of the functions in question, an example is to relate the definition to calculate the size the circumference of a circle C(x)=2πx, where x is the radius of the circle with its radius (x). to accomplish this research were proposed four activities with their solutions, by means of GeoGebra, analysis and teaching. After the expected result is that the teacher has a tutorial which helps in the process of teaching practice, especially for the student's first year of high school, addressing the concept of functions. 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