Article published In:
GestureVol. 22:1 (2023) ► pp.1–38
Weakest link or strongest link?
The effects of different types of linking gestures on learning
Teachers often use gestures to connect representations of mathematical ideas. This research examined (1) whether
such linking gestures help students understand connections among representations and (2) whether sets of gestures that include
repeated handshapes and motions – termed gestural catchments – are particularly beneficial. Undergraduates viewed
one of four video lessons connecting two representations of multiplication. In the control lesson, the instructor
produced beat gestures that did not link the representations. In the linkonly lesson, the instructor used
gestures to link representations, but the gestures did not form a catchment. In the consistentcatchment lesson,
the instructor highlighted corresponding elements of the two representations using identical gestures. In the
inconsistentcatchment lesson, the instructor highlighted noncorresponding elements of the two
representations using identical gestures. Participants who saw the lesson with the consistent catchment – which highlighted
similarities between representations – were most likely to understand the novel representation and to report learning from the
lesson.
Article outline
 Introduction
 Connecting representations in mathematics learning
 Linking gestures in math instruction
 Gestural catchments
 Catchments as linking gestures
 Teachers’ gestures and students’ metacognition
 The current study
 Method
 Participants
 Design
 Materials
 Warmup worksheet
 Video lesson
 Posttest
 Procedure
 Warmup
 Lesson
 Multiplication representations interview
 Posttest
 Additional task
 Final interview and selfevaluation of learning
 Demographic survey
 Coding
 Participant interview
 Verbal links
 Gestural links
 Written work
 Symbolicexpressiontoareamodel item
 Areamodeltolinemodel and symbolicexpressiontolinemodel items
 Linemodeltosymbolicexpression items
 Place value items
 Coding selfevaluations of learning
 Results
 Overview of analyses
 Preliminaries
 Did the instructor’s gestures influence participants’ descriptions of links between the area and line models?
 Did the instructor’s gestures influence participants’ performance on the written posttest?
 Symbolicexpressiontoareamodel item
 Areamodeltolinemodel items
 Symbolicexpressiontolinemodel items
 Linemodeltosymbolicexpression items
 Place value items
 Did the instructor’s gestures influence participants’ judgments about their learning of multidigit multiplication and place
value?
 Discussion
 Summary of results
 Theoretical significance
 Practical significance
 Limitations
 Future directions
 Conclusion

References
References (43)
References
Adesope, O. O., & Nesbit, J. C. (2012). Verbal
redundancy in multimedia learning environments: A metaanalysis. Journal of Educational
Psychology,
104
1, 250–263.
Ainsworth, S. (2006). DeFT:
A conceptual framework for considering learning with multiple representations. Learning and
Instruction,
16
(3), 183–198.
Alibali, M. W., & Nathan, M. J. (2007). Teachers’
gestures as a means of scaffolding students’ understanding: Evidence from an early algebra
lesson. In R. Goldman, R. Pea, B. Barron, & S. J. Derry. (Eds.), Video
research in the learning
sciences (pp. 349–365). Mahwah, NJ: Erlbaum.
Alibali, M. W., & Nathan, M. J. (2012). Embodiment
in mathematics teaching and learning: Evidence from learners’ and teachers’ gestures. Journal of the Learning Sciences,
21
1, 247–286.
Alibali, M. W., Nathan, M. J., Church, R. B., Wolfgram, M. S., Kim, S., & Knuth, E. J. (2013). Gesture
and speech in mathematics lessons: Forging common ground by resolving trouble spots. ZDM –
International Journal on Mathematics
Education,
45
1, 425–440.
Alibali, M. W., Nathan, M. J., & Fujimori, Y. (2011). Gestures
in the mathematics classroom: What’s the point? In N. L. Stein & S. W. Raudenbush. (Eds.), Developmental
Cognitive Science Goes to
School (pp. 219–234). New York, NY: Routledge.
Alibali, M. W., Nathan, M. J., Wolfgram, M. S., Church, R. B., Jacobs, S. A., Martinez, C. J., & Knuth, E. J. (2014). How
teachers link ideas in mathematics instruction using speech and gesture: A corpus
analysis. Cognition and
Instruction,
32
(1), 65–100.
Alibali, M. W., Young, A. G., Crooks, N. M., Yeo, A., Wolfgram, M. S., Ledesma, I. M., Church, R. B., & Knuth, E. J. (2013). Students
learn more when their teacher has learned to gesture
effectively. Gesture,
13
(2), 210–233.
Brown, S. A., & Alibali, M. W. (2018). What
kind of problem is this? Labels guide generalization of math strategies
[Abstract]. In T. T. Rogers, M. Rau, X. Zhu, & C. W. Kalish. (Eds.), Proceedings
of the 40th Annual Conference of the Cognitive Science
Society (p. 2818). Austin TX: Cognitive Science Society.
Brown, S. A., & Alibali, M. W. (2019, March). (In)consistent
labeling of math strategies and problems guides strategy choice. Poster presented
at the Biennial Meeting of the Society for Research in Child
Development, Baltimore, MD.
Bruner, J. S. (1966). Towards
a theory of instruction. Cambridge, MA: Belknap Press.
Carpenter, S. K., Wilford, M. M., Kornell, N., & Mullaney, K. M. (2013). Appearances
can be deceiving: Instructor fluency increases perceptions of learning without increasing actual
learning. Psychonomic Bulletin &
Review,
20
(6), 1350–1356.
Carpenter, S. K., Northern, P. E., Tauber, S. “U.”, & Toftness, A. R. (2020). Effects
of lecture fluency and instructor experience on students’ judgments of learning, test scores, and evaluations of
instructors. Journal of Experimental Psychology:
Applied,
26
(1), 26–39.
Church, R. B., AymanNolley, S., & Mahootian, S. (2004). The
role of gesture in bilingual education: Does gesture enhance learning? International Journal of
Bilingual Education and
Bilingualism,
7
1, 303–319.
Cook, S. W., Duffy, R. G., & Fenn, K. M. (2013). Consolidation
and transfer of learning after observing hand gesture. Child
Development,
84
(6), 1863–1871.
Crooks, N. M., & Alibali, M. W. (2014). Defining
and measuring conceptual knowledge in mathematics. Developmental
Review,
34
1, 344–377.
Donovan, A. M., & Fyfe, E. R. (2022). Connecting concrete objects and abstract symbols promotes children’s place value knowledge. Educational Psychology, 42(8), 1008–1026.
Donovan, A. M., & Fyfe, E. R. (2022). Connecting
manipulatives and symbols promotes mathematics learning. Concrete Connections. Educational
Psychology.
Donovan, A. G., & Donovan, A. M. (2022). Catchment
multiplication representations instructor images. Available at [URL] (last access 1 November 2023).
Fennell, F., & Rowan, T. (2001). Representation:
An important process for teaching and learning mathematics. Teaching Children
Mathematics,
7
(5), 288.
Flevares, L. M., & Perry, M. (2001). How
many do you see? The use of nonspoken representations in firstgrade mathematics
lessons. Journal of Educational
Psychology,
93
(2), 330–345.
Fyfe, E. R., & Nathan, M. J. (2019). Making
“concreteness fading” more concrete as a theory of instruction for promoting
transfer, Educational
Review,
71
1, 403–422.
Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K. C., Wearne, D., Murray, H., Olivier, A., & Human, P. (1997). Making
Sense: Teaching and Learning Mathematics with Understanding. Portsmouth, NH: Heinemann.
Kendon, A. (1972). Some
relationships between body motion and speech: An analysis of an
example. In A. W. Siegman & B. Pope. (Eds.), Studies
in Dyadic
Communication (pp. 177–210). Elmsford, NY: Pergamon.
Mayer, R. E., Heiser, J., & Lonn, S. (2001). Cognitive
constraints on multimedia learning: When presenting more material results in less
understanding. Journal of Educational
Psychology,
93
1, 187–198.
McNeil, N. M., & Fyfe, E. R. (2012). “Concreteness
fading” promotes transfer of mathematical knowledge. Learning and
Instruction,
22
1, 440–448.
McNeill, D. (2000a). Catchments and contexts: Nonmodular factors in speech and gesture production. In D. McNeill (Ed.), Language and Gesture (pp. 312–328). Cambridge, UK: Cambridge University Press.
McNeill, D. (2000b). Growth
points, catchments, and contexts. Cognitive
Studies,
7
(1), 22–36.
McNeill, D., Quek, F., McCullough, K. E., Duncan, S., Furuyama, N., Bryll, R., Ma, X. F., & Ansari, R. (2001). Catchments,
prosody and
discourse. Gesture,
1
(1), 9–33.
McNeill, D. (2002). Gesture
and language dialectic. Acta Linguistica
Hafniensia,
34
(1), 7–37.
Mortimer, E. F., Pereira, R. R., & Moro, L. (2019). The
use of recurrent gestures to give cohesion to classroom
discourse. In L. Xu, G. Aranda, W. Widjaja, & D. Clarke. (Eds.), Videobased
research in education: Crossdisciplinary
perspectives (pp. 176–193). Routledge.
PozzerArdenghi, L., & Roth, W. M. (2008). Catchments,
growth points and the iterability of signs in classroom
communication. Semiotica,
172
1, 389–409.
Rau, M. A., & Matthews, P. G. (2017). How
to make ‘more’ better? Principles for effective use of multiple representations to enhance students’ learning about
fractions. ZDM, 491, 531–544.
Richland, L. E., Zur, O., & Holyoak, K. J. (2007). Cognitive
supports for analogies in the mathematics
classroom. Science,
316
(5828), 1128–1129.
Richland, L. E. (2015). Linking
gestures: Crosscultural variation during instructional analogies. Cognition and
Instruction,
33
1, 295–321.
Serra, M. J., & Magreehan, D. A. (2016). Instructor
fluency correlates with students’ ratings of their learning and their instructor in an actual
course. Creative
Education,
7
(8).
Sidney, P. G., & Thompson, C. A. (2019). Implicit
analogies in learning: Supporting transfer by warming up. Current Directions in Psychological
Science,
28
(6), 619–625.
Valenzeno, L., Alibali, M. W., & Klatzky, R. L. (2003). Teachers’
gestures facilitate students’ learning: A lesson in symmetry. Contemporary Educational
Psychology,
28
1, 187–204.
Wakefield, E. M., Novack, M. A., Congdon, E. L., & Howard, L. H. (2021). Individual
differences in gesture interpretation predict children’s propensity to pick a gesturer as a good
informant. Journal of Experimental Child
Psychology,
205
1, 105069.
Williams, W. M., & Ceci, S. J. (1997). “How’m
I doing?” Problems with student ratings of instructors and courses. Change: The Magazine of
Higher
Learning,
29
(5), 12–23.
Wilson, A. A., Boatright, M. D., & LandonHays, M. (2014). Middle
school teachers’ disciplinespecific use of gestures and implications for disciplinary literacy
instruction. Journal of Literacy
Research,
46
(2), 234–262.
Yeo, A., Ledesma, I., Nathan, M. J., Alibali, M. W., & Church, R. B. (2017). Teachers’
gestures and students’ learning: Sometimes “hands off” is better. Cognitive Research:
Principles and Implications, 2, 41.
Cited by (1)
Cited by one other publication
Alibali, Martha W., Rui Meng, Andrea Marquardt Donovan, Meixia Ding & Amelia Yeo
2024.
How teachers make connections among ideas in mathematics instruction. In
Natural Behavior [
Advances in Child Development and Behavior, 66],
► pp. 137 ff.
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