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Tikhomirova, Tatiana N.

Psychological Institute of Russian Academy of Education.
Lomonosov Moscow State University.
Moscow, Russia

Publications by Tikhomirova, Tatiana N.

Tikhomirova T.N., Misozhnikova E.B., Malykh A.S., Gaydamashko I.V., Malykh S.B. (2017). Mathematical fluency in high school students. Psychology in Russia: State of the Art, 10(1), 95-104.

This article presents the results of a study of mathematical fluency in high school students. We provide a definition of mathematical fluency and illustrate the relevance of the research by presenting an overview of studies examining mathematical fluency development and its relationship with success in mathematical disciplines.

A computerized test “Problem Verification Task” (Tosto et al., 2013) was administered to 692 high school students from one public secondary school (grades 9/10/11: n = 336/210/146) in the Moscow region. The stimuli consisted of 48 elementary arithmetic equations along with answer options. To indicate a correct answer, participants were instructed to press the corresponding key on the keyboard as quickly as possible.

Two-way ANOVA was used to estimate grade and sex similarities and differences in mathematical fluency at the high school level.

The current study has two primary findings: (1) students differed in math fluency across grades, and (2) there were no sex differences in mathematical fluency at the high school level. ANOVA exhibited significant differences in mathematical fluency among all three groups of students at grades 9, 10 and 11 with a 19% effect size. These results may be associated with the accumulating effects of the educational process: high school students in each subsequent year of schooling demonstrate a higher level of mathematical fluency on average compared to the previous year. At the same time, we observed no sex differences in mathematical fluency at the high school level. The results are discussed in terms of educational effects.

DOI:  10.11621/pir.2017.0107
Pages:  95-104
ThemesEducational psychology
Keywords:  mathematical fluency, mathematical achievement, education, high school age, sex differences

Available Online: 03.01.2017

Verbitskaya, L.A., Malykh, S.B., Zinchenko, Yu.P., Tikhomirova, T.N. (2015). Cognitive predictors of success in learning Russian. Psychology in Russia: State of the Art, 8(4), 91-100.

This study examines the role of cognitive characteristics in the success in learning Russian, assessed through teachers’ grades and test scores on standardized state exams.

This paper examines the relationship between cognitive characteristics, such as nonverbal intelligence, working memory and speed of information processing, and the results of the Unified State Exam for 11th grade students, the Basic State Exam for 9th grade students and the traditional assessment of Russian language learning.

This study involved students in the 9th and 11th grades from four educational institutions in the Moscow and St. Petersburg regions; 427 students were studying in the 9th grade (50.3% were boys) and 398 students were studying in the 11th grade (44.8% were boys).

This study concluded that expert assessment of Russian language learning is more associated with successful test scores on the Unified State Exam (r = 0.71, p < 0.01) than with the results of the Basic State Exam (r = 0.46, р < 0.01).

This study showed that at the lower and upper levels of secondary education, nonverbal intelligence is a significant predictor of success in learning the Russian language according to expert estimates. In addition, we found differences in the relationship between cognitive performance and success in learning the Russian language as assessed by tests. Nonverbal intelligence contributes significantly to individual differences in scores for the Unified State Exam in Russian, while the contribution of cognitive characteristics on the Basic State Exam is not statistically significant.

DOI:  10.11621/pir.2015.0408
Pages:  91-100
ThemesCognitive psychology / Educational psychology
Keywords:  nonverbal intelligence, cognitive characteristics, success in learning Russian, Unified State Exam, State Final Examination, annual assessment

Available Online: 12.30.2015