Skip to main content
Log in

Abstract

Whilst many definitions of formative assessment have been offered, there is no clear rationale to define and delimit it within broader theories of pedagogy. This paper aims to offer such a rationale, within a framework which can also unify the diverse set of practices which have been described as formative. The analysis is used to relate formative assessment both to other pedagogic initiatives, notably cognitive acceleration and dynamic assessment, and to some of the existing literature on models of self-regulated learning and on classroom discourse. This framework should indicate potentially fruitful lines for further enquiry, whilst at the same time opening up new ways of helping teachers to implement formative practices more effectively.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

Notes

  1. The importance of “success criteria” and “learning intentions” was emphasised by Clarke (2001).

  2. For those who believe that this merely moves the burden of definition onto the word “learning” we would define learning as an increase, brought about by experience, in the capacities of an organism to react in valued ways in response to stimuli.

  3. Boekearts and Corno use two terms, growth and mastery, with both, apparently interchangeable, to stand for a focus on learning achievement; we have preferred the first of these here because mastery denotes a sense of completion whereas growth does not.

  4. Examples of such questions in mathematics may be found in Hodgen and Wiliam (2006) and Swann (2006).

  5. neriage’ originally applied to the technique of layering, cutting and re-combining different colours of clay to produce a block with intricate patterns.

References

  • Adey, P. (2005). Issues arising from the long-term evaluation of cognitive acceleration programmes. Research in Science Education, 35, 3–22.

    Article  Google Scholar 

  • Alexander, R. (2006). Towards dialogic thinking: Rethinking classroom talk. York: Dialogos.

    Google Scholar 

  • Applebee, A. N., Langer, J. A., Nystrand, M., & Gamoran, A. (2003). Discussion based approaches to developing understanding: classroom instruction and student performance in middle and high school English. American Educational Research Journal, 40(3), 685–730.

    Article  Google Scholar 

  • ARG (2002). Assessment for Learning: 10 Principles. Available on the Assessment Reform Group website: www.assessment-reform-group.org.uk.

  • Black, P. (2007). Full marks for feedback. Make the Grade: Journal of the Institute of Educational Assessors, 2(1), 18–21 (Spring).

    Google Scholar 

  • Black, P., & Wiliam, D. (1998a). Assessment and classroom learning. Assessment in Education: Principles Policy and Practice, 5(1), 7–73.

    Article  Google Scholar 

  • Black, P., & Wiliam, D. (1998b). Inside the black box: Raising standards through classroom assessment. London: GL Assessment.

    Google Scholar 

  • Black, P., & Wiliam, D. (2006). Developing a theory of formative assessment. In J. Gardner (Ed.), Assessment and learning (pp. 81–100). London: Sage.

    Google Scholar 

  • Black, P., Harrison, C., Lee, C., Marshall, B., & Wiliam, D. (2002). Working inside the black box: Assessment for learning in the classroom. London: GL Assessment.

    Google Scholar 

  • Black, P., Harrison, C., Lee, C., Marshall, B., & Wiliam, D. (2003). Assessment for learning: Putting it into practice. Buckingham: Open University Press.

    Google Scholar 

  • Black, P., McCormick, R., James, M., & Pedder, D. (2006). Learning how to learn and assessment for learning: a theoretical inquiry. Research Papers in Education, 21(2), 119–132.

    Article  Google Scholar 

  • Blatchford, P., Baines, E., Rubie-Davies, C., Bassett, P., & Chowne, A. (2006). The effect of a new approach to group-work on pupil-pupil and teacher-pupil interaction. Journal of Educational Psychology, 98, 750–765.

    Article  Google Scholar 

  • Bloom, B. S. (1984). The search for methods of instruction as effective as one-to-one tutoring. Educational Leadership, 41(8), 4–17.

    Google Scholar 

  • Boaler, J., & Humphreys, C. (2005). Connecting mathematical ideas: Middle school video cases to support teaching and learning. Portsmouth, NH: Heinemann.

    Google Scholar 

  • Boekaerts, M., & Corno, L. (2005). Self-regulation in the classroom: A perspective on assessment and intervention. Applied Psychology, 54(2), 199–231.

    Article  Google Scholar 

  • Boekaerts, M., Maes, S., & Karoly, P. (2005). Self-regulation across domains of applied psychology: Is there an emerging consensus? Applied Psychology, 54(2), 149–154.

    Article  Google Scholar 

  • Bromme, R., & Steinbring, H. (1994). Interactive development of subject matter in the mathematics classroom. Educational Studies in Mathematics, 27(3), 217–248.

    Article  Google Scholar 

  • Brown, A. L., & Campione, J. C. (1996). Psychological theory and the design of innovative learning environments: on procedures, principles, and systems. In L. Schauble, & R. Glaser (Eds.), Innovations in learning: New environments for education (pp. 291–292). Hillsdale, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Butler, R. (1987). Task-involving and ego-involving properties of evaluation: effects of different feedback conditions on motivational perceptions, interest and performance. Journal of Educational Psychology, 79(4), 474–482.

    Article  Google Scholar 

  • Butler, R. (1988). Enhancing and undermining intrinsic motivation; the effects of task-involving and ego-involving evaluation on interest and performance. British Journal of Educational Psychology, 58(1), 1–14.

    Google Scholar 

  • Butler, D., & Winne, P. H. (1995). Feedback as self-regulated learning: a theoretical synthesis. Review of Educational Research, 65, 245–281.

    Google Scholar 

  • Chaiklin, S. (2003). The zone of proximal development in Vygotsky’s analysis of learning and instruction. In A. Kozulin, B. Gindis, V. S. Ageyev, & S. M. Miller (Eds.), Vygotsky’s educational theory and practice in cultural context (pp. 39–64). Cambridge: Cambridge University Press.

    Google Scholar 

  • Ciofalo, J., & Wylie, C. E. (2006). Using diagnostic classroom assessment: one question at a time. Teachers College Record, January 10, 2006, http://www.tcrecord.org, ID Number: 12285.

  • Clarke, S. (2001). Unlocking formative assessment. London: Hodder and Stoughton.

    Google Scholar 

  • Davis, B. (1997). Listening for differences: an evolving conception of mathematics teaching. Journal for Research in Mathematics Education, 28(3), 355–376.

    Article  Google Scholar 

  • Dweck, C. S. (2000). Self-theories: Their role in motivation, personality and development. Philadelphia, PA: Psychology Press.

    Google Scholar 

  • Dillon, J. T. (1988). Questioning and discussion: A multi-disciplinary study. New York: Ablex.

    Google Scholar 

  • Dillon, J. T. (1994). Using discussion in classrooms. London: Open University Press.

    Google Scholar 

  • Feuerstein, R., Falik, L., Rand, Y., & Feuerstein, R. S. (2003). Dynamic assessment of cognitive modifiability. Jerusalem: ICELP Press.

    Google Scholar 

  • Fisher, R. (2005). Teaching children to learn (2nd ed.). London: Continuum.

    Google Scholar 

  • Greene, J. A., & Azvedo, R. (2007). A theoretical review of Winne and Hadwin’s model of self-regulated learning: New perspectives and directions. Review of Educational Research, 77(3), 354–372.

    Article  Google Scholar 

  • Hacker, D. J., Dunlosky, J., & Graesser, A. C. (Eds.) (1998). Metacognition in educational theory and practice. Mahwah, NJ: Erlbaum.

  • Hardman, F., Smith, F., & Wall, K. (2003). “Interactive whole class teaching” in the national literacy strategy. Cambridge Journal of Education, 33(2), 197–215.

    Article  Google Scholar 

  • Hattie, J., & Temperley, H. (2007). The power of feedback. Review of Educational Research, 77(1), 81–112.

    Article  Google Scholar 

  • Hidi, S., & Harackiewicz, J. M. (2000). Motivating the academically unmotivated: A critical issue for the 21st century. Review of Educational Research, 70(2), 151–179.

    Google Scholar 

  • Hodgen, J., & Marshall, B. (2005). Assessment for learning in mathematics and English: Contrasts and resemblances. The Curriculum Journal, 16(2), 153–176.

    Article  Google Scholar 

  • Hodgen, J., & Wiliam, D. (2006). Mathematics inside the black box. London: GL Assessment.

    Google Scholar 

  • James, M., Black, P., Carmichael, P., Drummond, M. -J., Fox, A., MacBeath, J., et al. (2007). Improving learning how to learn in classrooms, schools and networks. London: Routledge.

    Google Scholar 

  • Knight, O. (2008). Create something interesting to show that you have learned something. Teaching History, 131, 17–24.

    Google Scholar 

  • Leung, C. (2007). Dynamic assessment: assessment for or as teaching? Language Assessment Quarterly, 4(3), 257–278.

    Google Scholar 

  • Lighthall, F. F. (1988). An organization watcher’s view of questioning & discussion. In J. T. Dillon (Ed.), Questioning and discussion: A multidisciplinary study (pp. 135–153). New York, NY: Ablex.

    Google Scholar 

  • McClain, K., & Cobb, P. (2001). An analysis of development of sociomathematical norms in one first-grade classroom. Journal for Research in Mathematics Education, 32(3), 236–266.

    Article  Google Scholar 

  • Mehan, H. (1979). Learning lessons: Social organization in the classroom. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • Mercer, N., Dawes, L., Wegerif, R., & Sams, C. (2004). Reasoning as a scientist: Ways of helping children to use language to learn science. British Educational Research Journal, 30(3), 359–377.

    Article  Google Scholar 

  • Perrenoud, P. (1998). From formative evaluation to a controlled regulation of learning processes. Towards a wider conceptual field. Assessment in Education: Principles, Policy and Practice, 5(1), 85–102.

    Article  Google Scholar 

  • Poehner, M. E., & Lantolf, J. P. (2005). Dynamic assessment in the language classroom. Language Teaching Research, 9(3), 233–265.

    Article  Google Scholar 

  • Ramaprasad, A. (1983). On the definition of feedback. Behavioral Science, 28, 4–13.

    Article  Google Scholar 

  • Ryan, R. M., & Deci, E. L. (2000). Intrinsic and extrinsic motivations: Classic definitions and new directions. Contemporary Educational Psychology, 25, 54–67.

    Article  Google Scholar 

  • Sadler, D. R. (1989). Formative assessment and the design of instructional systems. Instructional Science, 18, 119–144.

    Article  Google Scholar 

  • Sadler, D. R. (1998). Formative assessment: revisiting the territory. Assessment in Education, 5(1), 77–84.

    Article  Google Scholar 

  • Shayer, M., & Adey, P. (Eds.) (2002). Learning intelligence: cognitive acceleration across the curriculum 5 to 15 years. Milton Keynes: Open University Press.

  • Shulman, L. S. (2005). The signature pedagogies of the professions of law, medicine, engineering, and the clergy: potential lessons for the education of teachers. Paper presented at the National Science Foundation Mathematics and Science Partnerships Workshop: Teacher Education for Effective Teaching and Learning held at National Research Council Center for Education, Irvine, CA.

  • Slavin, R. E., Hurley, E. A., & Chamberlain, A. M. (2003). Cooperative learning and achievement. In W. M. Reynolds & G. J. Miller (Eds.), Handbook of psychology, vol 7: Educational psychology (pp. 177–198). Hoboken, NJ: Wiley.

    Google Scholar 

  • Smith, F., Hardman, F., Wall, K., & Mroz, M. (2004). Interactive whole class teaching in the National Literacy and Numeracy strategies. British Educational Research Journal, 30(3), 395–411.

    Article  Google Scholar 

  • Swan, M. (2006). Collaborative learning in mathematics: A challenge to our beliefs and practices. London: National Institute for Advanced and Continuing Education (NIACE) for the National Research and Development Centre for Adult Literacy and Numeracy (NRDC).

    Google Scholar 

  • Swift, J. N., Gooding, C. T., & Swift, P. R. (1988). Questions and wait time. In J. T. Dillon (Ed.), Questioning and discussion: A multidisciplinary study (pp. 192–211). New York, NY: Ablex.

    Google Scholar 

  • Takahashi, A. (2008). Neriage: An essential piece of a problem-based lesson. Teaching through problem solving: A Japanese approach. Paper presented at the Annual conference of the National Council of Teachers of Mathematics. Salt Lake City, UT.

  • Threlfall, J. (2005). The formative use of assessment information in planning—The notion of contingent planning. British Journal of Educational Studies, 53(1), 54–65.

    Article  Google Scholar 

  • van Lier, L. (1996). Interaction in the language curriculum: Awareness, autonomy and authenticity. Harlow: Pearson Education.

    Google Scholar 

  • Vermeer, H., Boekaerts, M., & Seegers, G. (2001). Motivational and gender differences: Sixth-grade students’ mathematical problem-solving behaviour. Journal of Educational Psychology, 92(2), 308–315.

    Article  Google Scholar 

  • von Glasersfeld, E. (1987). Learning as a constructive activity. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 3–17). Hillsdale, NJ: Erlbaum.

    Google Scholar 

  • Vygotsky, L. (1978). Mind in Society. Cambridge, MA: Harvard University Press.

    Google Scholar 

  • White, B. Y., & Frederiksen, J. R. (1998). Inquiry, modelling, and metacognition. Making science accessible to all students. Cognition and Instruction, 16(1), 3–118.

    Article  Google Scholar 

  • Wiliam, D. (2000). Formative assessment in mathematics part 3: the learner’s role. Equals: Mathematics and Special Educational Needs, 6(1), 19–22.

    Google Scholar 

  • Wiliam, D. (2007a). Keeping learning on track: classroom assessment and the regulation of learning. In F. K. Lester Jr. (Ed.), Second handbook of mathematics teaching and learning (pp. 1053–1098). Greenwich, CT: Information Age.

    Google Scholar 

  • Wiliam, D. (2007b). Content then process: Teacher learning communities in the service of formative assessment. In D. Reeves (Ed.), Ahead of the curve: The power of assessment to transform teaching and learning (pp. 182–204). Bloomington, IN: Solution Tree.

    Google Scholar 

  • Wiliam, D., & Thompson, M. (2007). Integrating assessment with instruction: What will it take to make it work? In C. A. Dwyer (Ed.), The future of assessment: Shaping teaching and learning (pp. 53–82). Mahwah, NJ: Erlbaum.

    Google Scholar 

  • Wiliam, D., Lee, C., Harrison, C., & Black, P. (2004). Teachers developing assessment for learning: impact on student achievement. Assessment in Education: Principles, Policy and Practice, 11(1), 49–65.

    Article  Google Scholar 

  • Winne, P. H. (2005). Key issues in modelling and applying research on self-regulated learning. Applied Psychology, 54(2), 232–238.

    Article  Google Scholar 

  • Winne, P. H., & Hadwin, A. F. (1998). Studying as self-regulated learning. In D. J. Hacker, J. Dunlosky, & A. C. Graesser (Eds.),Metacognition in educational theory and practice (pp. 277–304). Mahwah, NJ: Erlbaum.

    Google Scholar 

  • Wylie, E. C., & Wiliam, D. (2006). Diagnostic questions: is there value in just one? Paper presented at the Annual Meeting of the National Council on Measurement in Education. San Francisco, CA.

  • Wylie, E. C., & Wiliam, D. (2007). Analyzing diagnostic questions: what makes a student response interpretable? Paper presented at the Annual Meeting of the National Council on Measurement in Education. Chicago, IL.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Paul Black.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Black, P., Wiliam, D. Developing the theory of formative assessment. Educ Asse Eval Acc 21, 5–31 (2009). https://doi.org/10.1007/s11092-008-9068-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11092-008-9068-5

Keywords

Navigation