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A systematic investigation of the link between rational number processing and algebra ability.
Hurst M, Cordes S. Hurst M, et al. Br J Psychol. 2018 Feb;109(1):99-117. doi: 10.1111/bjop.12244. Epub 2017 Feb 27. Br J Psychol. 2018. PMID: 28240359
Recent research suggests that fraction understanding is predictive of algebra ability; however, the relative contributions of various aspects of rational number knowledge are unclear. Furthermore, whether this relationship is notation-dependent or rather reli …
Recent research suggests that fraction understanding is predictive of algebra ability; however, the relative contributions of …
Nuclear androdioecy and gynodioecy.
Vargas JA, del Castillo RF. Vargas JA, et al. J Math Biol. 2003 Sep;47(3):199-221. doi: 10.1007/s00285-003-0200-3. Epub 2003 Apr 23. J Math Biol. 2003. PMID: 12955456
Each model is expressed as a transformation of a 3 dimensional zygotic algebra, which we interpret as a rational map of the projective plane. ...Our results concur with previous models of the evolution of androdioecy and gynodioecy regarding the threshold values abo …
Each model is expressed as a transformation of a 3 dimensional zygotic algebra, which we interpret as a rational map of the pr …
Individual Differences in Implicit and Explicit Spatial Processing of Fractions.
Toomarian EY, Meng R, Hubbard EM. Toomarian EY, et al. Front Psychol. 2019 Apr 5;10:596. doi: 10.3389/fpsyg.2019.00596. eCollection 2019. Front Psychol. 2019. PMID: 31024373 Free PMC article.
Here, we investigate how individual implicit and explicit spatial representations of fractions relate to fraction knowledge and other formal measures of math achievement. ...We observed a significant group-level SNARC effect based on overall fraction magnitud …
Here, we investigate how individual implicit and explicit spatial representations of fractions relate to fraction knowledge an …
Children's understanding of fraction and decimal symbols and the notation-specific relation to pre-algebra ability.
Hurst MA, Cordes S. Hurst MA, et al. J Exp Child Psychol. 2018 Apr;168:32-48. doi: 10.1016/j.jecp.2017.12.003. Epub 2018 Jan 3. J Exp Child Psychol. 2018. PMID: 29306108
However, prior work investigating these questions has focused almost exclusively on fraction notation, overlooking the open questions of how children integrate rational number magnitudes presented in distinct notations (i.e., fractions, decimals, and whole nu …
However, prior work investigating these questions has focused almost exclusively on fraction notation, overlooking the open questions …
A set for relational reasoning: Facilitation of algebraic modeling by a fraction task.
DeWolf M, Bassok M, Holyoak KJ. DeWolf M, et al. J Exp Child Psychol. 2016 Dec;152:351-366. doi: 10.1016/j.jecp.2016.06.016. Epub 2016 Aug 10. J Exp Child Psychol. 2016. PMID: 27522528
The current study investigated whether relational reasoning with fractions facilitates subsequent algebraic reasoning using both pre-algebra students and adult college students. Participants were first given either a relational reasoning fractions task …
The current study investigated whether relational reasoning with fractions facilitates subsequent algebraic reasoning using bo …
From rational numbers to algebra: separable contributions of decimal magnitude and relational understanding of fractions.
DeWolf M, Bassok M, Holyoak KJ. DeWolf M, et al. J Exp Child Psychol. 2015 May;133:72-84. doi: 10.1016/j.jecp.2015.01.013. Epub 2015 Mar 2. J Exp Child Psychol. 2015. PMID: 25744594
We sought to distinguish more specific precursors to algebra by measuring multiple aspects of knowledge about rational numbers. ...Multiple regression analyses revealed that the best predictors of algebra performance were measures of relational fraction …
We sought to distinguish more specific precursors to algebra by measuring multiple aspects of knowledge about rational numbers …
Biophysical optimality of the golden angle in phyllotaxis.
Okabe T. Okabe T. Sci Rep. 2015 Oct 16;5:15358. doi: 10.1038/srep15358. Sci Rep. 2015. PMID: 26471765 Free PMC article.
Plant leaves are arranged around a stem axis in a regular pattern characterized by common fractions, a phenomenon known as phyllotaxis or phyllotaxy. As plants grow, these fractions often transition according to simple rules related to Fibonacci sequences. ...The mo …
Plant leaves are arranged around a stem axis in a regular pattern characterized by common fractions, a phenomenon known as phyllotaxi …
An algebraic approach to the study of the titration curves of weak acids and their mixtures.
Kankare JJ. Kankare JJ. Talanta. 1975 Dec;22(12):1005-12. doi: 10.1016/0039-9140(75)80116-0. Talanta. 1975. PMID: 18961777
It is shown that the titration curves of weak acids and their mixtures which have rational mole-fractions of the components can be transformed into polynomials. ...
It is shown that the titration curves of weak acids and their mixtures which have rational mole-fractions of the components ca …
Three-dimensional array diffraction-limited foci from Greek ladders to generalized Fibonacci sequences.
Zhang J. Zhang J. Opt Express. 2015 Nov 16;23(23):30308-17. doi: 10.1364/OE.23.030308. Opt Express. 2015. PMID: 26698510 Free article.
Greek ladder is a technique for approximating Cn by rational numbers where n is a positive integer and C is a positive real number. For the classical Greek ladder, the value isC. Based on the continued fraction theory and algebraic equation, the classical Gre …
Greek ladder is a technique for approximating Cn by rational numbers where n is a positive integer and C is a positive real number. F …
A systematic examination of a random sampling strategy for source apportionment calculations.
Andersson A. Andersson A. Sci Total Environ. 2011 Dec 15;412-413:232-8. doi: 10.1016/j.scitotenv.2011.10.031. Epub 2011 Nov 10. Sci Total Environ. 2011. PMID: 22078368
Perhaps the most common strategy for tackling such problems is by setting up a system of linear equations for the fractional influence of different sources. Even though an algebraic solution of this approach is possible for the common situation with N+1 sources and N sourc …
Perhaps the most common strategy for tackling such problems is by setting up a system of linear equations for the fractional influence of di …
11 results