Ashcraft, M. H. (1992). Cognitive arithmetic: A review of data and theory. Cognition, 44(1-2), 75-106. https://doi.org/10.1016/0010-0277(92)90051-I

Baddeley, A. (1992). Working memory. Science, 255(5044), 556–559. https://doi.org/10.1126/science.1736359

Berg, D. H. (2008). Working memory and arithmetic operations in children: The contributory roles of processing speed, short-term memory, and reading. Journal of Experimental Child Psychology, 99(4), 288–308. https://doi.org/10.1016/j.jecp.2007.12.002

Boz, S., & Erden, M. (2021). Çalışan belleğin farklı bileşenlerinin 3. sınıf öğrencilerinin çarpma becerisine etkisi [The Effect of different components of working memory on multiplication skills of 3rd grade children]. Hacettepe University Journal of Education/Hacettepe Üniversitesi Eğitim Fakültesi Dergisi, 36(1), 177-185. https://doi.org/10.16986/HUJE.2020058880  

Brown, L., Sherbenou, R. J., & Johnsen, S. K. (2010). TONI-4: Test of Non-Verbal Intelligence 4 (4th ed.). PRO-ED.

Campbell, J. I. D. (1995). Mechanisms of simple addition and multiplication: A modified network-interference theory and simulation. Mathematical Cognition, 1(2), 121–164.

Campbell, J. I. D., & Oliphant, M. (1992). Representation and retrieval of arithmetic fact: A network-interference model and simulation. In J. I. D. Campbell (Ed.), Advances in psychology (Vol. 91, pp. 331–364). Elsevier. https://doi.org/10.1016/S0166-4115(08)60891-2

Campbell, J. I. D., & Tarling, D. P. M. (1996). Retrieval processes in arithmetic production and verification. Memory and Cognition, 24, 156–172. https://doi.org/10.3758/BF03200878

Cooney, J. B., Swanson, H. L., & Ladd, S. F. (1988). Acquisition of mental multiplication skill; Evidence for the transition between counting and retrieval strategies. Cognition and Instruction, 5(4), 323-345. https://doi.org/10.1207/s1532690xci0504_5

Cowan, N. (1999). An embedded-processes model of working memory. In A. Miyake & P. Shah (Eds.), Models of working memory: Mechanisms of active maintenance and executive control (pp. 62-101). Cambridge University Press. https://doi.org/10.1017/CBO9781139174909.006

De Stefano, D., & LeFevre, J.-A. (2004). The role of working memory in mental arithmetic. European Journal of Cognitive Psychology, 16(3), 353-386. https://doi.org/10.1080/09541440244000328

De Visscher, A., & Noël, M.-P. (2014). The detrimental effect of interference in multiplication facts storing: Typical development and individual differences. Journal of Experimental Psychology: General, 143(6), 2380–2400.  https://doi.org/10.1037/xge0000029

De Visscher, A., & Noël, M.-P. (2016). Similarity interference in learning and retrieving arithmetic facts. In M. Cappelletti & W. Fias (Eds.), Progress in brain research: The mathematical brain across the lifespan  (Vol. 227, pp. 131–158). Elsevier.  https://doi.org/10.1016/bs.pbr.2016.04.008

De Visscher, A., Vogel, S. E., Reishofer, G., Hassler, E., Koschutnig, K., De Smedt, B., & Grabner, R. H. (2018). Interference and problem size effect in multiplication fact solving: Individual differences in brain activations and arithmetic performance. NeuroImage, 172, 718-727. https://doi.org/10.1016/j.neuroimage.2018.01.060

Dotan, D., & Zviran-Ginat, S. (2022). Elementary math in elementary school: The effect of interference on learning the multiplication table. Cognitive Research: Principles and Implications, 7, Article 101. https://doi.org/10.1186/s41235-022-00451-0

Ecker, U. K. H., Lewandowsky, S., Oberauer, K., & Chee, A. E. H. (2010). The components of working memory updating: An experimental decomposition and individual differences. Journal of Experimental Psychology: Learning, Memory, and Cognition, 36(1), 170–189. https://doi.org/10.1037/a0017891

Engle, R. W., Tuholski, S. W., Laughlin, J. E., & Conway, A. R. A. (1999). Working memory, short-term memory, and general fluid intelligence: A latent-variable approach. Journal of Experimental Psychology: General, 128(3), 309–331. https://doi.org/10.1037/0096-3445.128.3.309

Fuchs, L. S., Fuchs, D., Stuebing, K., Fletcher, J. M., Hamlett, C. L., & Lambert, W. (2008). Problem solving and computational skill: Are they shared or distinct aspects of mathematical cognition? Journal of Educational Psychology, 100(1), 30-47. https://doi.org/10.1037/0022-0663.100.1.30

Geary, D. C. (2003). Arithmetical development: Commentary on chapters 9 through 15 and future directions. In A. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills: Constructing adaptive expertise (pp. 453-464). Erlbaum.

Geary, D. C. (2011). Cognitive predictors of achievement growth in mathematics: A 5-year longitudinal study. Developmental Psychology, 47(6), 1539–1552. https://doi.org/10.1037/a0025510

Geary, D. C., & Brown, S. C. (1991). Cognitive addition: Strategy choice and speed-of-processing differences in gifted, normal, and mathematically disabled children. Developmental Psychology, 27(3), 398-406. https://doi.org/10.1037/0012-1649.27.3.398

Hasher, L., Lustig, C., & Zacks, R. (2007). Inhibitory mechanisms and the control of attention. In A. R. A. Conway, C. Jarrold, M. J. Kane, & A. Miyake & J. N. Towse (Eds.), Variation in working memory (pp. 227–249). Oxford University Press.

Hasher, L., & Zacks, R. T. (1988). Working memory, comprehension, and aging: A review and new view. In G. H. Bower (Ed.), The psychology of learning and motivation (Vol. 22, pp. 193-225). Elsevier. https://doi.org/10.1016/S0079-7421(08)60041-9

Heitz, R. P. (2014). The speed-accuracy tradeoff: History, physiology, methodology, and behavior. Frontiers in Neuroscience, 8, Article 150. https://doi.org/10.3389/fnins.2014.00150

Hubber, P. J., Gilmore, C., & Cragg, L. (2014). The roles of the central executive and visuospatial storage in mental arithmetic: A comparison across strategies. The Quarterly Journal of Experimental Psychology, 67(5), 936-954. https://doi.org/10.1080/17470218.2013.838590

Ji, Z., & Guo, K. (2023). The association between working memory and mathematical problem solving: A three-level meta-analysis. Frontiers in Psychology, 14, Article 1091126. https://doi.org/10.3389/fpsyg.2023.1091126

Jonides, J., & Nee, D. E. (2006). Brain mechanisms of proactive interference in working memory. Neuroscience, 139(1), 181-193. https://doi.org/10.1016/j.neuroscience.2005.06.042

Kane, M. J., & Engle, R. W. (2000). Working-memory capacity, proactive interference, and divided attention: Limits on long-term memory retrieval. Journal of Experimental Psychology: Learning, Memory, and Cognition, 26(2), 336–358. https://doi.org/10.1037/0278-7393.26.2.336

Lee, K., & Lee, H. W. (2019). Inhibition and mathematical performance: Poorly correlated, poorly measured, or poorly matched? Child Development Perspectives, 13(1), 28–33. https://doi.org/10.1111/cdep.12304

LeFevre, J.-A., Bisanz, J., Daley, K. E., Buffone, L., Greenham, S. L., & Sadesky, G. S. (1996). Multiple routes to solution of single-digit multiplication problems. Journal of Experimental Psychology: General, 125(3), 284–306. https://doi.org/10.1037/0096-3445.125.3.284

Marton, K., Campanelli, L., Eichorn, N., Scheuer, J., & Yoon, J. (2014). Information processing and proactive interference in children with and without specific language impairment. Journal of Speech, Language, and Hearing Research, 57(1), 106–119. https://doi.org/10.1044/1092-4388(2013/12-0306)

McNeil, N. M., & Alibali, M. W. (2005). Why won’t you change your mind? Knowledge of operational patterns hinders learning and performance on equations. Child Development, 76(4), 883–899. https://doi.org/10.1111/j.1467-8624.2005.00884.x

Ministry of National Education. (2018). Matematik dersi öğretim program (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. sınıflar) [Mathematics course curriculum (Primary and secondary school 1st, 2nd, 3rd, 4th, 5th, 6th, 7th and 8th grades)]. https://mufredat.meb.gov.tr/ProgramDetay.aspx?PID=329

Morris, N., & Jones, D. M. (1990). Memory updating in working memory: The role of the central executive. British Journal of Psychology, 81(2), 111–121. https://doi.org/10.1111/j.2044-8295.1990.tb02349.x

Nairne, J. S. (1990). A feature model of immediate memory. Memory & Cognition, 18, 251–269. https://doi.org/10.3758/BF03213879

Noël, M.-P., & De Visscher, A. (2018). Hypersensitivity-to-interference in memory as a possible cause of difficulty in arithmetic facts storing. In A. Henik & W. Fias (Eds.), Heterogeneity of function in numerical cognition (pp. 387–408). Academic Press. https://doi.org/10.1016/b978-0-12-811529-9.00018-2

Oberauer, K. (2001). Removing irrelevant information from working memory. A cognitive aging study with the modified Sternberg task. Journal of Experimental Psychology: Learning, Memory, and Cognition, 27(4), 948–957. https://doi.org/10.1037//0278-7393.27.4.948

Oberauer, K., & Kliegl, R. (2006). A formal model of capacity limits in working memory. Journal of Memory and Language, 55(4), 601–626. https://doi.org/10.1016/j.jml.2006.08.009

Oberauer, K., & Lange, E. B. (2009). Activation and binding in verbal working memory: A dual-process model for the recognition of nonwords. Cognitive Psychology, 58(1), 102–136. https://doi.org/10.1016/j.cogpsych.2008.05.003

Oberauer, K., & Lewandowsky, S. (2008). Forgetting in immediate serial recall: Decay, temporal distinctiveness, or interference? Psychological Review, 115(3), 544-76. https://doi.org/10.1037/0033-295X.115.3.544

Oberauer, K., Lewandowsky, S., Farrell, S., Jarrold, C., & Greaves, M. (2012). Modeling working memory: An interference model of complex span. Psychonomic Bulletin & Review, 19, 779-819. https://doi.org/10.3758/s13423-012-0272-4

Palladino, P. (2006). The role of interference control in working memory: A study with children at risk of ADHD. Quarterly Journal of Experimental Psychology, 59(12), 2047–2055. https://doi.org/10.1080/17470210600917850

Psychology Software Tools. (2020). E-Prime 3 (Version 3.x) [Computer software]. Retrieved from  https://pstnet.com/products/e-prime/

Raghubar, K. P., Barnes, M. A., & Hecht, S. A. (2010). Working memory and math: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences, 20(2), 110–122. https://doi.org/10.1016/j.lindif.2009.10.005

R Core Team. (2022). R: A language and environment for statistical computing (Version 4.2.1). R Foundation for Statistical Computing. https://www.R-project.org/

Sala, G., & Gobet, F. (2017). Working memory training in typically developing children: A meta-analysis of the available evidence. Developmental Psychology, 53(4), 671-685. https://doi.org/10.1037/dev0000265

Schoenfeld, A. H. (1989). Explorations of students’ mathematical beliefs and behavior. Journal for Research in Math Education, 20(4), 338-355. https://doi.org/10.2307/749440

Shipstead, Z., Redick, T. S., & Engle, R. W. (2012). Is working memory training effective? Psychological Bulletin, 138(4), 628-654. https://doi.org/10.1037/a0027473

Silver, E. (Ed.). (1985). Teaching and learning mathematical problem solving: Multiple research perspectives. Lawrence Erlbaum Associates.

Thevenot, C., Castel, C., Fanget, M., & Fayol, M. (2010). Mental subtraction in high- and lower-skilled arithmetic problem solvers: Verbal report versus operand-recognition paradigms. Experimental Psychology: Learning, Memory, and Cognition, 36(5), 1242–1255. https://doi.org/10.1037/a0020447

Unsworth, N. (2010). Interference control, working memory capacity, and cognitive abilities: A latent variable analysis. Intelligence, 38(2), 255–267. https://doi.org/10.1016/j.intell.2009.12.003  

Unsworth, N., & Engle, R. W. (2007). The nature of individual differences in working memory capacity: Active maintenance in primary memory and controlled search from secondary memory. Psychological Review, 114(1), 104−132. https://doi.org/10.1037/0033-295X.114.1.104

Zbrodoff, N. J., & Logan, G. D. (2005). What everyone finds: The problem-size effect. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 331–345). Psychology Press.