Abstract
In this chapter we assess the intellectual quality of the enacted curriculum in Secondary 3 Mathematics and English in a large representative sample of schools in Singapore using criteria and standards identified in part by John Hattie in Visible Learning. In doing so, however, we have expanded Hattieās particular model of visible learning to include a range of instructional practices that we believe are critical to enhancing instructional transparency and student learning. In particular, we focus on a range of standards that have the potential to ensure greater epistemic clarity with respect to the nature and cognitive demands of the knowledge work involved in the design and implementation of instructional (and assessment) tasks.
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Notes
- 1.
We are currently testing this proposition using multi-level SEM modeling of the Core 2 Panel 2 survey data.
References
Alexander, R. (2000). Culture and pedagogy: International comparisons in primary education. Oxford: Blackwell.
Alexander, R. (2004). Towards dialogic teaching: Rethinking classroom talk. York: Dialogos.
Alexander, R. (2008). Essays on pedagogy. London: Routledge.
Alexander, R. (2012). Moral panic, miracle cures and educational policy: What can we really learn from international comparison? Scottish Educational Review, 44(1), 4ā21.
Ball, D. (2003). Mathematical proficiency for all students: Towards a strategic research and development program in mathematics education. Santa Monica: RAND.
Barnes, D. (1992). From communication to curriculum (2nd ed.). Portsmouth: Boynton/Cook-Heinemann.
Barnes, D. (2008). Exploratory talk for learning. In N. Mercer & S. Hodgkinson (Eds.), Exploring talk in school (pp. 1ā16). London: Sage.
Bereiter, C., & Scardamalia, M. (2006). Education for the knowledge age: Design-centred models of teaching and instruction. In P. Alexander & P. Winne (Eds.), Handbook of educational psychology (2nd ed., pp. 695ā714). New Jersey: Lawrence Erlbaum.
Black, P., & Wiliam, D. (1998). Inside the black box: Raising standards through classroom assessment. London: Assessment Reform Group, University of Cambridge, School of Education.
Boaler, J. (2002a) The development of disciplinary relationships: Knowledge, practice and identity in mathematics classrooms. For The Learning of Mathematics, 22(1), 42ā47.
Boaler, J. (2002b). Exploring the nature of mathematical activity: Using theory, research and working hypotheses to broaden conceptions of mathematics knowing. Educational Studies in Mathematics, 51(1/2), 3.
Cazden, C. B. (1988). Classroom discourse: The language of teaching and learning. Portsmouth: Heinemann.
Cohen, D. (2011). Teaching and its predicaments. Cambridge: Harvard University Press.
Doyle, W. (1983). Academic work. Review of Educational Research, 53, 159ā199.
Ford, M. J., & Forman, E. A. (2006). Redefining disciplinary learning in classroom contexts. In J. Green & A. Luke (Eds.), Review of research in education (Vol. 30, pp. 1ā32). Washington, DC: American Educational Research Association.
Ford, M. J., & Forman, E. A. (2008). Redefining disciplinary learning in classroom contexts. In J. Green, A. Luke, & G. Kelly (Eds.), Review of educational research (Vol. 30, pp. 1ā32). Washington, DC: American Education Research Association.
Hattie, J. (1987). Identifying the salient facets of a model of student learning: A synthesis of meta-analyses. International Journal of Educational Research, 11, 187ā212.
Hattie, J. (2009). Visible learning. A synthesis of over 800 meta-analyses relating to achievement. London: Routledge.
Hattie, J. (2012). Visible learning for teachers: Maximizing impact on learning. London: Routledge.
Hodgkinson, S., & Mercer, N. (2008). Exploring talk in school. London: Sage.
Hogan, D. (2011). Evidence-based policy in education in Singapore. In T. Schuler & T. Burns (Eds.), Evidence-based policy making in education. Paris: CERI/OECD.
Hogan, D. (2012). Culture and pedagogy in Singapore: The fate of the Teach Less Learn More policy initiative, 2004ā1010. In S. Paris, & K. Lee (Eds.), Redesigning pedagogy. Singapore: Springer.
Hogan, D., Towndrow, P., Rahim, R., Chan, M., Luo, S., Sheng, Y., et al. (2011). Interim report on pedagogical practices in Singapore in Secondary 3 mathematics and English, 2004 and 2010. Singapore: National Institute of Education.
Hogan, D., Rahim, R., Chan, M., Kaur, B., & Towndrow, P. (2012). Disciplinarity and the logic of mathematical tasks in Secondary 3 mathematics lessons in Singapore. In R. Gillies, (Ed.), New developments in cognition and instruction research. New York: Nova Science Publishers, Forthcoming.
Hogan, D., Chan, M., Rahim, R., Towndrow, P., & Kwek, D. (2012). Understanding classroom talk in Secondary 3 mathematics classes in Singapore. In B. Kaur (Ed.), Connections, reasoning and communication: New directions in mathematics education. Singapore: World Scientific.
Lefstein, A., & Snell, J. (2010). Classroom discourse: The promise and complexity of dialogic practice. In S. Ellis, E. McCartney, & J. Bourne (Eds.), Insight and impact: Applied linguistics and the primary school. Cambridge: Cambridge University Press.
Lemke, J. (1989). Using language in the classroom. Oxford: Oxford University Press.
Lemke, J. (1990). Talking science: Language, learning and values. Norwood: Ablex.
McConachie, S., & Petrosky, A. (Eds.). (2010). Content matters: A disciplinary literacy approach to improved student learning. San Francisco: Jossey Bass.
Mehan, H. (1979). Learning lessons: Social organization in the classroom (illustrated, Reprint edn.). The University of Michigan/Harvard University Press.
Mercer, N. (1992). Talk for teaching and learning. In: Thinking voices: The work of the National Oracy Project (pp. 215ā223). London: Hodder & Stoughton (for the National Curriculum Council).
Mercer, N., & Littleton, K. (2007). Dialogue and the development of childrenās thinking: A sociocultural approach. London/New York: Routledge.
Michaels, S., OāConnor, C., Hall, M., & Resnick, L. (2002). Accountable talk: Classroom conversation that works (CD-ROM set). Pittsburgh: University of Pittsburgh.
Michaels, S., Sohmer, R. E., & OāConnor, M. C. (2004). Classroom discourse. In H. Ammon, N. Dittmar, K. Mattheier, & P. Trudgill (Eds.), Sociolinguistics: An international handbook of the science of language and society (2nd ed., pp. 2351ā2366). New York: Walter de Gruyter.
Michaels, S., OāConner, C., & Resnick, L. (2008). Deliberative discourse idealized and realized: Accountable talk in the classroom and civic life. Studies in the Philosophy of Education, 27, 283ā297.
Nystrand, M., & Gamoran, A. (1991). Instructional discourse, student engagement, and literature achievement. Research in the Teaching of English, 25, 261ā290.
Nystrand, M., Gamoran, A., Kachur, R., & Prendergast, C. D. (1999). Opening dialogue: Understanding the language and learning in the english classroom. New York: Teachers College Press.
Nystrand, M., Wu, L., Gamoran, A., Zeiser, S., & Long, D. (2001). Questions in time: Investigating the structure and dynamics of unfolding classroom discourse. Albany: The National Research Center on English Learning & Achievement. Report Series 14005, University of New York (Albany).
Perkins, D. (1998). What is understanding? In M. S. Wiske (Ed.), Teaching for understanding (pp. 39ā57). San Francisco: Jossey Bass.
Rahim, R., Hogan, D., & Chan, M. (2012). The epistemic framing of mathematical tasks in Secondary 3 mathematics lessons in Singapore. In B. Kaur (Ed.), Reasoning, connections and communications in Singapore mathematics lessons. Singapore: World Scientific.
Resnick, L.B., Asterhan, C., Clarke, C., & Hofkens, T. (Eds.) (2012, forthcoming) Socializing intelligence [papers from the September 2011 AERA conference āSocializing intelligence through academic talk and dialogueā held at the University of Pittsburgh], Washington, DC: AERA.
Rittle-Johnson, B., & Alibali, M. W. (1999). Conceptual and procedural knowledge of mathematics: Does one lead to the other? Journal of Educational Psychology, 91(1), 175ā189.
Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook for research on mathematics teaching and learning (pp. 334ā370). New York: MacMillan.
Schraw, G. (2006). Knowledge: Structures and processes. In P. Alexander & P. Winne (Eds.), Handbook of educational psychology (2nd ed., pp. 245ā264). Mahwah: Lawrence Erlbaum.
Shanmugaratnam, T. (2005). Speech at the MOE work plan seminar 2005, 22 Sept. Singapore: Ngee Ann Polytechnic Convention Centre.
Sinclair, J., & Coulthard, M. (1975). Towards an analysis of discourse: The English used by teachers and pupils (illustrated, Reprint edn.). Oxford University Press.
Stein, M., Grover, B., & Henningsen, M. (1996). Building student capacity for mathematical thinking and reasoning: An analysis of mathematical tasks used in reform classrooms. American Educational Research Journal, 33(2), 455ā488.
Stein, M., Smith, M., Henningsen, M., & Silver, E. (2009). Implementing standards-based mathematics instruction: A casebook for professional development (2nd ed.). New York: Teachers College Press.
Wells, G., & Arauz, R. (2006). Dialogue in the classroom. The Journal of the Learning Sciences, 15(3), 379ā428.
Young, M. (2008). Bringing knowledge back in: From social constructivism to social realism in the sociology of education. London: Routledge.
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Appendix: Core 2 Research Program: Indicators of Visible Learning Panels 2 and 3 Data
Appendix: Core 2 Research Program: Indicators of Visible Learning Panels 2 and 3 Data
Scale | Specification |
---|---|
Communicating lesson goals and assessment standards | |
Communicating lesson topics | Teacherās announcement of the lesson topic, the mode of articulation and the stated rationale for learning the topic |
Communicating learning objectives | Teacherās announcement of the learning objectives for the lesson, the mode of articulation, the level of detail provided for the objectives and the stated rationale for these objectives |
Recapitulation of learning goals | Teacherās recapitulation of learning objectives, the mode of articulation and the level of detail when recapitulating |
Communicating performance standards | Teacherās explicit mention of performance standards and criteria for the task, activity, student work or goals |
Exemplars of performances of understanding | Teacherās explicit reference and explication of exemplars of performance, which can be successful, unsuccessful or incorrect exemplars. Important is the degree of explanation that follows the exemplar so that students know what to achieve, or avoid, when performing that task, activity or goal |
Whole class performances of understanding | Teacherās demonstration and performance of particular goals, criteria, standards |
Epistemic clarity: task structure | |
Epistemic (knowledge) focus | Epistemic focus of the knowledge work that teachers are engaged in, or teachers ask students to engage in: factual, procedural, conceptual (a focus on meaning and making connections), epistemic (denoting the criteria and standards for establishing the epistemic warrant of knowledge claims), metacognitive, rhetorical (a focus on knowledge of grammar and syntax in EL), hermeneutical (a focus on principles of textual interpretation), aesthetic and moral and civic |
Domain specific activities, tasks and practices | Focus on the instructional activities that teachers ask students to engage in. Domain specific in nature, the scales are hierarchical and assume increasing disciplinary and cognitive complexity |
Mathematics tasks | Remembering tasks, routine procedural tasks, review tasks, revision tasks, comprehension/knowledge manipulation tasks, procedural tasks with connections, and āDoing Mathematicsā |
Domain-specific knowledge practices: mathematics | Knowledge communication (Syntax), knowledge representation, knowledge generation, knowledge deliberation, knowledge justification, knowledge communication (Presentation) |
English language activities/tasks | Coding, comprehension, interpretation and meaning making, analysis, description, conveying, expressing, explaining, persuading |
Cognitive demand/complexity/operations | Focus on the cognitive demands of instructional activities that teachers ask students to engage in. Activities are coded according to the cognitive operations required by students to achieve the activity goal |
Locus of epistemic authority | Focus on the source of epistemic authority and the nature of epistemic authority (positional, procedural or artifactual). Scale is also coded when teacher explicitly appeals to domain-specific knowledge |
Epistemic pluralism and deliberation | Focus on the openness of knowledge work which draws on multiple perspectives. Epistemic claims are deliberated, compared, debated, justified and accountable to specific epistemic authorities |
Epistemic clarity: classroom talk | |
Factual talk | Talk that focuses on propositional or factual knowledge (dates, events, facts, names, equations, definitions, algorithms, and etc.). It often involves descriptive talk ā descriptions of a state of affairs |
Procedural talk | Talk that focuses on how students complete a process or task specific to a discipline, subject or area of study. This is talk around genres, rules, procedures, resources, tools involved in solving a problem or doing knowledge work |
Clarifying talk | Talk that focuses on clarifying questions or elaborations that invites the teacher or students to clarify what is meant in an earlier exchange or statement |
Connecting talk | Talk that focuses on helping students to make meaning by establishing connections between prior knowledge or personal experiences to related concepts or topics, from previous to current lessons, between examples, between forms of disciplinary knowledge and language. Such connections aim to deepen conceptual understanding and build knowledge |
Temporal connections | Talk that focuses on helping students make explicit, relevant, connections to earlier discussions in the current lesson, or to previous lessons or units, or to lessons or units that will come after the current lesson |
Conceptual connections | Talk that focuses on explicit conceptual connections where the teacher asks students to make, or students initiate making, connections between concepts, representations, examples, analogies, out-of-school matter and curriculum content |
Framing talk | Talk that focuses on taking a step back from an ongoing exchange to frame, interpret, situate the talk to a broader, conceptual, procedural or epistemic context. The connection is therefore between talk and context |
Reframing talk | Talk that focuses on moving between vernacular talk and more abstract, technical, domain-specific disciplinary talk. The focus is between two distinct types of talk or grammars (vernacular and technical) |
Explanatory talk | Talk that focuses on teacher or students giving reasons or explanation in response to initial statements made |
Epistemic justification talk | Talk that focuses on teacher or students identifying and discussing domain specific epistemic norms (criteria and standards) to be used to establish the truth value, rigor, validity, reliability, authenticity, or reasonableness of a knowledge claim |
Reflexive talk | Talk that focuses on meta-cognition and self-regulation ā how students learn, or can learn, to manage their own learning more effectively |
Structure of classroom interaction | |
Teacher talk | Focus on the nature of teacher questions (open-ended or closed) directed at the whole class, individuals or groups, as well as the length of the teacher responses when addressing the class, individuals or groups. Short responses are typically a few words, medium responses are one or two sentences, extended responses are three sentences or more |
Student talk | Focus on the nature of student questions (open-ended or closed) directed to the teacher in a whole class context, as well as the length of the student responses to the teacher. The responses can be made in a whole class setting, when the student is in a group, or when the student is interacting with the teacher individually. Short responses are typically a few words, medium responses are one or two sentences, extended responses are three sentences or more |
Instructional strategies | |
Checking on prior learning | Focus on the teacher checking on studentās prior activities, concepts, topics, content knowledge, and specific knowledge from previous lessons |
Monitoring | Focus on how the teacher monitors student learning. Monitoring may be supervisory where the teacher monitors whether students are complying with instructions provided or it may be formative where the teacher seeks to establish the level of understanding or skill that a student has for a given task. Monitoring may be directed at individuals or groups |
Feedback | Focuses on the nature of feedback provided by the teacher to the student. Feedback may be evaluative or formative, or it may be a prescriptive reformulation of a studentās incorrect response or a detailed correction of a studentās response. The scale also captures the audience of the teacherās feedback ā individuals, students, whole class, and in some cases when students provide feedback to other students |
Learning support | Focus on the nature of support provided to students to complete an activity or to achieve understanding. Learning support may be planned and fixed whereby the teacher has decided in advance the kind of support needed by the students, or it may be contextual and flexible whereby the teacher provides timely support to enable their content mastery or task completion. The nature of the learning support may be logistical when guidance is provided on the use of tools or resources, procedural when guidance is provided on steps or procedures to complete a task, or strategic when explicit guidance on alternative strategies or options are provided to aid students to complete a task or achieve understanding |
Self-directed learning | Focus on the extent to which the teacher offers opportunities for students to exercise autonomy over their own learning. The scale checks if students are able to establish, negotiate or modify classroom norms, learning goals, learning activities, topics, lesson structure, task design, assessment criteria and standards, or resources. It also checks if students are able to perform self-assessment or have opportunities to discuss alternative viewpoints or explanations that may contradict the teacherās |
Structure and clarity scale (P2) | Asks if the teacher states the lesson objectives, gives clear directions and explanations for student tasks, organises information and explains difficult ideas |
Flexible teaching (P2) | Asks if the teacher tries different teaching methods or allows students to get help from peers |
Focus on understanding (P2) | Asks if the teacherās explanations, course materials, or homework tasks help students understand the topic |
Quality of questioning (P2) | Asks if the teacher provides time to answer questions, asks quality questions, and rephrases the questions if students are unable to respond correctly |
Teacher review (P2) | Asks if the teacher checks that students understand the lesson, and reviews the lesson before starting a new topic |
Focus on practice | Asks if the teacher ensures that students focus on the lesson, pays attention, concentrates during class work and that they complete their work |
Traditional instruction (P2) | Teaching that focuses on spending a significant amount of time on drill and practice using textbooks |
Direct instruction (P2) | Teaching that focuses on structure and clarity of the lesson content and objectives, provides students with reviews of the content, and ensures that students are focused and are able to complete their work |
Teaching for understanding (P2) | Flexible teaching that focuses on depth of understanding, engages in quality questions, engages studentsā curiosity and interest, provides scaffolding during group work, monitors student learning, provides personal and collective feedback |
Co-regulated learning (P2) | Teaching that encourages students to practice self-directed learning through setting their own goals, identifying strategies to achieve them, and to conduct frequent checks on their own work |
Knowledge building | |
Lesson purposefulness | The lesson exhibited evidence that the teacher had planned thoughtfully, designed or selected learning tasks, selected instructional activities and steered classroom talk with specific educational goals in view |
Direction/Progression over the course of the lesson | The lesson shows evidence of coherent development, execution and closure in terms of the objectives set for the lesson |
Clarity of task/Activity structure | The lesson showed evidence of a clear sequence of tasks/activities that built on each other in an effective and appropriate manner |
Backward mapping/Framing/Integration/Closure | The lesson showed evidence that the teacher recapitulated learning goals and summarized the learning from the unit of work |
Time | There is evidence that the teacher gave the students sufficient time to complete the task |
Instructional flexibility/Pedagogical judgment | Teacher showed evidence of flexibility and āpedagogical agilityā to take advantage of āteachable momentsā |
Focus on knowledge building | There is evidence of āknowledge buildingā through developing active engagement in knowledge practices that permitted them to develop conceptual and procedural understanding and skills |
Focus on metacognitive self-regulation | There is evidence that the teacher tried to help students develop metacognitive knowledge and skills |
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Hogan, D. et al. (2013). Visible Learning and the Enacted Curriculum in Singapore. In: Deng, Z., Gopinathan, S., Lee, CE. (eds) Globalization and the Singapore Curriculum. Education Innovation Series. Springer, Singapore. https://doi.org/10.1007/978-981-4451-57-4_8
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