Enquiry-Based Learning in College Mathematics Education: Theory and Practice

Author(s):  
Su Liang

The practice of Inquiry-Based Learning (IBL) has a very long history. In the western world, the ancient Greek philosopher, Socrates (469 – 399 B.C.) had utilized IBL to engage his interlocutors in dialogue for discovering basic truth and principles. In the Eastern world, the ancient Chinese philosopher and educator Confucius (551 -479 B.C.) had also raised the idea of IBL approach for teaching and learning. Confucius had said: “I hear, I forget; I see, I remember; I do, I understand”. Active learning is the essence of IBL way of teaching. The IBL discussed in the paper is guided IBL. In the research literature, many research showed evidence that guided IBL produced better learning outcomes comparing to pure lecture approach. In recent years, promoting IBL in the field of education becomes a trend, because researchers believe that the features of IBL can fulfill the 21st century education through cultivating students’ critical and creative thinking, nurturing inquiry mind of problem-solving, and preparing life-long learners, for our society. However, in reality, the traditional way of teaching – lecture is still dominated at school teaching. Why has IBL been promoted in the educational research but most teachers still never employ it in their teaching practice yet? In this paper, I will discuss the challenging we are facing and propose some ideas for IBL implementation.


2016 ◽  
Vol 5 (3) ◽  
pp. 180-195 ◽  
Author(s):  
Brahm Norwich ◽  
George Koutsouris ◽  
Taro Fujita ◽  
Thomas Ralph ◽  
Anna Adlam ◽  
...  

Purpose – It is argued that the issues of translating basic science, including knowledge from neuroscience, into relevant teaching are similar to those that have been experienced over a long period by educational psychology. This paper proposes that such a translation might be achieved through lesson study (LS), which is an increasingly used technique to stimulate teacher enquiry. To explore these issues, the purpose of this paper is to present the findings from a modified LS approach that involved psychologists and mathematics lecturers working together with school-based teachers to prepare a series of lessons on mathematics. Design/methodology/approach – The LS team review and planning meetings and subsequent interviews were recorded and analysed for common themes, with reference to patterns of knowledge bridging. Particular attention was paid to translational issues and the kind of knowledge used. Findings – Overall, there was some successful bridging between theory and practice, and evidence of translation of theoretical knowledge into relevant teaching practice. However, the analysis of the team’s interactions showed that relatively little involved a useful applied neuroscience/neuropsychology element, whereas other psychological knowledge from cognitive, developmental, educational and clinical psychology was considered more relevant to planning the LS. Originality/value – This study illustrates how reference to brain functioning has currently little specific to contribute directly to school teaching, but it can arouse increased interest in psychological processes relevant to teaching and learning. This approach reaffirms the central role of teacher-led research in the relationship between theory and practice. The findings are also discussed in relation to the SECI model of knowledge creation.



Author(s):  
Renata Biguetti de Souza Santos ◽  
Givan José Ferreira dos Santos ◽  
Alessandra Dutra

A questão do planejamento curricular se apresenta como um dos elementos centrais quando se reflete a respeito do complexo processo de ensino-aprendizagem escolar, particularmente da Educação Básica. Nessa perspectiva busca-se responder aos questionamentos por que fazer, o que é e como fazer um projeto de currículo para o ensino escolar com princípios da interdisciplinaridade e, em consonância com essa problemática, alcançar os objetivos de expor razões favoráveis à adoção na prática docente desse paradigma pedagógico, de mostrar alguns de seus traços conceituais e de sinalizar caminhos para sua efetivação. Com base em aspectos teóricos e metodológicos de pesquisadores sobre o fenômeno da interdisciplinaridade e sua relação com a organização curricular, empreendeu-se uma pesquisa de cunho bibliográfico, descritivo e analítico. Acredita-se que os pressupostos conceituais, as luzes pedagógicas e as reflexões apresentadas no trabalho possam contribuir para aprofundamento da compreensão do tema pelos atores sociais que pensam e atuam na educação do Brasil. Palavras-chave: Processo de Ensino e Aprendizagem. Prática Docente. Educação no Brasil.   AbstractThe issue of curriculum planning is presented as one of the central elements when reflecting on the complex process of school teaching and learning, particularly in basic education. From this perspective, seeks to answer the questions why to do, what is and how to make a curriculum project for school teaching with interdisciplinary principles and, in line with this problem, achieve the objectives of exposing reasons favorable to adoption in practice. teacher of this pedagogical paradigm, to show some of its conceptual traits and to signal paths for its realization. Based on the theoretical and methodological aspects of researchers about the phenomenon of interdisciplinarity and its relationship with the curricular organization, a bibliographical, descriptive and analytical research was undertaken. It is believed that the conceptual assumptions, the pedagogical lights and the reflections presented in the work can contribute to the deepening of the understanding of the theme by the social actors who think and act in the education of Brazil. Keywords: Teaching and Learning Process. Teaching Practice. Education in Brazil. 



2016 ◽  
pp. 1665-1686 ◽  
Author(s):  
Kevin Burden ◽  
Paul Hopkins

This study examined the perceptions, attitudes and beliefs of pre-service teachers using the iPad for their professional learning purposes and for teaching during their school placements. The sample consisted of 117 pre-service teachers undertaking a one-year postgraduate qualification in England to gain qualified teaching status (QTS). A mixed methods design was employed to collect data using questionnaires and focus groups and the results showed how students' beliefs and attitudes, categorised as second order barriers, are significant factors in determining how effectively mobile technologies are used as a teaching and learning tool. Whilst the research literature suggests access, infrastructure and training, are diminishing as significant barriers for technology adoption, this study found that first-order barriers such as these still remain a significant challenge for pre-service teachers attempting to learn with and use mobile technologies in their practice. The article concludes with implications for practice in teacher education, theory and areas for further research.



Author(s):  
Aparecido dos Santos

O objetivo do presente estudo é o de identificar possíveis indícios de aprendizagem docente em um processo formativo com dimensões colaborativas. O processo de formação se pautou em dois pilares: na reflexão sobre o ensino e aprendizagem das estruturas multiplicativas e nas estratégias formativas empreendidas para o seu desenvolvimento (ação-reflexão-ação) a partir da análise da prática docente. O estudo foi realizado com um grupo de 14 professoras, atuantes nos anos iniciais do Ensino Fundamental, de uma escola pública na cidade de São Paulo. Os resultados apontam que, para além, da ação e reflexão sobre a prática, que permitiu proceder análises conceituais, didáticas e cognitivas que, em última análise, qualificaram o repertório teórico-prático para o ensino das estruturas multiplicativas, foi possível identificar nos relatos descritos pelas participantes, na avaliação final do processo formativo, elementos que, a meu ver, foram potencilizadores e indicaram indícios da aprendizagem docente. Essa aprendizagem, na voz das professoras, se deu na interface de quatro dimensões: (a) na relação professor- aluno, (b) na relação professor-professor- formadores, (c) na relação teoria e prática, e (d) na reflexão sobre a prática pedagógica.Palavras-chave: Processo Formativo. Aprendizagem Docente. Reflexão. Prática. AbstractThe objective of the present study is to identify possible evidence of teacher learning in a formative process with collaborative dimensions. The formation process was based on two pillars: reflection on the teaching and learning of multiplicative structures and the formative strategies undertaken for its development (action-reflection-action) from the analysis of teaching practice. The study was performed with a group of 14 teachers, active in the initial years of Elementary School, of a public school in the city of São Paulo. The results show that, in addition to the action and reflection on the practice, which allowed us to proceed with conceptual, didactic and cognitive analyzes that ultimately qualified the theoretical-practical repertoire for the teaching of multiplicative structures, it was possible to identify in the described narratives by the participants, in the final evaluation of the formative process, elements that, in my view, were definitive and indicated indications of teacher learning. This learning, in the teachers’ voice, took place in the four-dimensional interface: (a) in the teacher-student relationship, (b) in the teacher-teacher-formers relationship, (c) in the relation theory and practice, and (d) reflection on pedagogical practice.Keywords: Formative Process. Teacher Learning. Reflection. Practice



2021 ◽  
Vol 30 (10) ◽  
pp. 87-98
Author(s):  
N. V. Tikhonova

Nowadays, digital technologies are widely used at all levels of education and are effectively integrated into diverse teaching and learning activities (transmission of information, educational projects, presentations, games, training, modeling, evaluation and competence assessment, etc.). Information and communication technologies are considered in this study as a key element of assessment of teacher student professional skills and competencies during school teaching practice. A digital portfolio is regarded as a form of authentic assessment of teaching practice and a way to improve teaching performance and to contribute to pre-service teachers’ professional growth. The purpose of the research is to analyze the opportunities and potential benefits as well as the disadvantages of using digital portfolio in teacher preparation course and to propose recommendations for the full realization of this method’s potential. The author analyzes the experience of Swiss teachers in using a digital portfolio to assess the results of student teaching practice. The research focuses on the role of the digital portfolio in developing the pre-service teachers’ ability to selfassessment and self-reflection.



Author(s):  
Kevin Burden ◽  
Paul Hopkins

This study examined the perceptions, attitudes and beliefs of pre-service teachers using the iPad for their professional learning purposes and for teaching during their school placements. The sample consisted of 117 pre-service teachers undertaking a one-year postgraduate qualification in England to gain qualified teaching status (QTS). A mixed methods design was employed to collect data using questionnaires and focus groups and the results showed how students' beliefs and attitudes, categorised as second order barriers, are significant factors in determining how effectively mobile technologies are used as a teaching and learning tool. Whilst the research literature suggests access, infrastructure and training, are diminishing as significant barriers for technology adoption, this study found that first-order barriers such as these still remain a significant challenge for pre-service teachers attempting to learn with and use mobile technologies in their practice. The article concludes with implications for practice in teacher education, theory and areas for further research.



Author(s):  
Lynne Hunt

This chapter describes models of work-based learning and outlines key features of the authentic learning pedagogy that informs its application. It contextualises work-based learning in the political and economic imperatives driving curriculum change in universities in the Western world. In so doing, it refers to curriculum development based on generic skills and notes analyses of the role of universities in contemporary society, with particular reference to the relative importance of practical and theoretical training. Innovative case studies provide practical examples of the implementation of authentic learning pedagogies through work-based university programs. The key to successful implementation is assessment, which links theory and practice. The underlying message of the chapter is that what counts are not the teaching and learning tools you have, but the way that you use them. There can be nothing more real than real, and this is the strength of work-based university learning: it offers authentic or situated learning environments that reflect the way knowledge will be used in real life.



2018 ◽  
Vol 24 (esp.) ◽  
pp. 176
Author(s):  
Anemari Roesler Luersen Vieira Lopes ◽  
Halana Garcez Borowsky ◽  
Carine Daiana Binsfeld

 Este artigo objetiva discutir sobre o jogo como orientador da prática pedagógica do professor que ensina matemática nos anos iniciais do Ensino Fundamental, buscando compreender o papel dele na organização do ensino e no desenvolvimento da criança. Tendo a Teoria Histórico-Cultural, a Teoria da Atividade e a Atividade Orientadora de Ensino como fundamentos, assumimos uma concepção de educação na perspectiva da humanização e entendemos o jogo como uma atividade histórica e social, na qual o sujeito constrói suas relações sociais e desenvolve suas funções psicológicas superiores a partir de atividades. Nesse sentido, trazemos alguns apontamentos teóricos sobre o jogo e as ações do professor na organização do ensino, bem como uma situação de ensino voltada à aprendizagem do conceito de multiplicação. Como considerações, apontamos aspectos que permitem compreender o jogo como orientador da prática pedagógica: a intencionalidade pedagógica na prática docente por meio do jogo, em especial, para a organização do ensino de matemática; a contribuição do jogo para a atividade de ensino e de aprendizagem; e elementos importantes constituintes do jogo a ser desenvolvido.Palavras-chave: Prática Pedagógica. Jogo. Matemática nos anos iniciais do Ensino Fundamental. Atividade Orientadora de Ensino.THE GAME AS GUIDING OF PEDAGOGICAL PRACTICE IN THE EARLY YEARS OF ELEMENTARY SCHOOL Abstract: This paper aims to discuss about the game as a pedagogical practice guide of the teacher who teaches mathematics in the early years of Elementary School, seeking to understand its role in the organization of teaching and child development. Taking the Historical-Cultural Theory, the Activity Theory and the Teaching-Orienteering Activity as fundamentals, we assume a conception of education in the perspective of humanization and understand the game as a historical and social activity, which the subject builds his social relations and develops their superior psychological functions from activities. In this sense, we bring some theoretical notes about the game and the actions of the teacher in the organization of teaching, as well as a teaching situation focused on learning the concept of multiplication. As considerations, we point out aspects that allow to understand the game as guiding of the pedagogical practice: the pedagogical intentionality in the teaching practice through the game, in particular, for the organization of the teaching of mathematics; the contribution of the game to the teaching and learning activity; and important constituent elements of the game to be developed.Keywords: Pedagogical Practice. Game. Mathematics in the early years of Elementary School. Teaching-Orienteering Activity. EL JUEGO COMO ORIENTADOR DE LA PRÁCTICA PEDAGÓGICA EN LOS AÑOS INICIALES DE LA ENSEÑANZA FUNDAMENTALResumen: Este artículo apunta la discusión sobre el juego como orientador de la práctica pedagógica del profesor que enseña Matemática en los años iniciales de la Enseñanza Fundamental, buscando comprender el papel de él en la organización de la enseñanza y en el desarrollo del niño. Llevando en cuenta la Teoría Histórico-Cultural, la Teoría de la Actividad y la Actividad Orientadora de Enseñanza como fundamentos, asumimos una concepción de educación en la perspectiva de la humanización y comprendemos el juego como una actividad histórica y social, la cual el sujeto construye sus relaciones sociales y desarrolla sus funciones psicológicas superiores por medio de actividades. En ese sentido, traemos algunos apuntamientos teóricos acerca del juego y de las acciones del profesor en la organización de la enseñanza, como también una situación de enseñanza en que el aprendizaje se vuelve al concepto de multiplicación. Como consideraciones, apuntamos aspectos que permiten comprender el juego como orientador de la práctica pedagógica:  la intencionalidad pedagógica en la práctica docente por medio del juego, de forma especial para la organización de la enseñanza de matemática; la contribución del juego para la actividad de enseñanza y de aprendizaje; y elementos importantes constituyentes del juego a desarrollarse.Palabras-clave: Práctica pedagógica. Juego. Matemática en los años iniciales de la Enseñanza Fundamental. Actividad orientadora de enseñanza. 



2021 ◽  
pp. 11-16
Author(s):  
T. SOBCHENKO ◽  
V. VOROZHBIT-HORBATIUK ◽  
L. SHTEFAN

The article raises the topical problem of innovative activity of pedagogical higher education institutions. The authors take the position that in the context of changing the role of the teacher in the training of pedagogical specialists of the new generation is a popular and modern solution. One of the ways to solve the problem is to introduce into the cycle of general training of applicants for the first (bachelor’s) level of higher education disciplines that will contribute to the formation of students’ ability to solve complex professional problems, quality of teaching and learning, support, motivation, psychological and pedagogical support, their personal and professional development.The purpose of the article is to specify the content of the discipline “Coaching Technologies in Education” for H.S. Skovoroda Kharkiv National Pedagogical University.The authors of the article present the experience of implementation and content of the selective discipline “Coaching Technologies in Education” for applicants for the first (bachelor’s) level of higher education. The list of general and professional competencies that are formed in future teachers during the study of the discipline is given, the program results are specified. Target and content aspects of the elective course are presented through the prism of standardized requirements for general secondary education teachers.Methods of teaching are revealed, including partial search, performance of practical exercises, conversation, discussion, work with the basic and auxiliary literature, information sources, the story, the decision of cases, practical exercises, writing of the essay, business game, drawing up mental maps, storytelling, case study method, World Cafe method.Of particular value is the presented content of the elective course, which consists of two modules “Philosophy, principles and types of coaching”, “Coaching in education”. The thematic plan and forms of lectures and seminars are presented. The peculiarities of conducting classes in the form of coaching sessions are specified.Prospects for further scientific research are to develop practical and methodological complexes for the discipline.  



Author(s):  
Tse-Kian Ken Neo

In recent years, the infusion of multimedia into teaching and learning has altered considerably the instructional strategy in our educational institutions and changed the way teachers teach and students learn. The traditional teacher-centric method of teaching used for decades in our educational system has been modified and enhanced. Currently, modern education theory is moving from the traditional recall of facts, principles, or correct procedures into the areas of creative thinking, problem solving, analysis and evaluation. These are skills which are very much needed in today's knowledge based economy. This shift in focus on learning has presented Malaysian educators with serious challenges as well as opportunities in restructuring their curriculum to meet the rising demands of the knowledge based society, which is currently being initiated by the Malaysian Government. In this paper, we focus on designing a course which is oriented towards a constructivist based paradigm by using multimedia as an instructional tool, and where students are active learners, involved in constructing their own knowledge in the learning process and determining how to reach their own learning outcomes. A survey was carried out to ascertain the reactions of students enrolled in an interactive multimedia course in the Multimedia University, Malaysia towards this constructivist based learning mode. The results indicated that these students reacted positively towards this study mode and improved their interpersonal and collaborative learning skills.



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