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   1 ld be described by principles of physics and mathematics.                                            
     2 ll be needed to achieve this for reading and mathematics.                                            
     3 ce in reading was three times as large as in mathematics.                                            
     4 ory have an advantage over other children in mathematics.                                            
     5 an overview of our philosophy of pictures in mathematics.                                            
     6 ng block for the uniquely human capacity for mathematics.                                            
     7 earn the concepts and operations of symbolic mathematics.                                            
     8 tive area representations to formally taught mathematics.                                            
     9 ers, but also begin a negative trajectory in mathematics.                                            
    10 biology, psychology, chemistry, physics, and mathematics.                                            
    11 damental to all aspects of elementary school mathematics.                                            
    12 om systems engineering, systems biology, and mathematics.                                            
    13  in early education on numeracy and later on mathematics.                                            
    14 emistry, which in turn led me to physics and mathematics.                                            
    15 complex and nonlinear systems in physics and mathematics.                                            
    16 d the ill-posed nature of the reconstruction mathematics.                                            
    17 e a nested surface hypothesis imposed by the mathematics.                                            
    18 to enhance children's engagement with formal mathematics.                                            
    19 musical skill at the expense of language and mathematics.                                            
    20 and may guide, language-based instruction in mathematics.                                            
    21 on is influenced by human exposure to formal mathematics.                                            
    22 em, unaided intuition is not enough: we need mathematics.                                            
    23 ood without undue concern for the underlying mathematics.                                            
    24 sequence and general purpose programming and mathematics.                                            
    25 spectral gap is independent of the axioms of mathematics.                                            
    26 open problems in computer science and all of mathematics.                                            
    27 onto space is fundamental to measurement and mathematics.                                            
    28 hibit cognitive strengths in domains such as mathematics.                                            
    29 rning of the language and concepts of school mathematics.                                            
  
    31 red with its consistent and specific link to mathematics ability across the age span, hold promise fo
    32 s: 0.80-0.84) and positively associated with mathematics achievement (effect-size range: 0.05-0.10), 
  
    34 ormance IQ score (3.9 points higher, P=.02), mathematics achievement score (4.8 points higher, P=.04)
  
    36 eral processing predicted end of fifth grade mathematics achievement, as did first grade central exec
    37 age for grade and positively associated with mathematics achievement, reading comprehension, and rece
    38 he ANS (a dot comparison task) is related to mathematics achievement, which has led researchers to su
  
  
  
    42 ntinuum: We did not find a sex difference in mathematics among the lowest performing students, but th
    43  lag behind other countries, ranking 35th in mathematics and 27th in science achievement internationa
    44 dividuals tend to avoid situations involving mathematics and are less likely to pursue science, techn
  
    46 cess is the use of sophisticated statistics, mathematics and bioinformatics to define statistically v
  
    48 fraction of citations in journals focused on mathematics and computation all support the same conclus
    49 h layout is extensively used in the field of mathematics and computer science, however these ideas an
    50  that experimentalists learn the language of mathematics and dynamical modeling and theorists learn t
    51 ch funding, the physical sciences (including mathematics and engineering) have not and must now do so
  
  
  
    55 ssifying groups is an important challenge in mathematics and has led to the identification of groups 
  
  
    58 ntions that focus on high-achieving girls in mathematics and on low achieving boys in reading are lik
    59 es including molecular biology, engineering, mathematics and physics to design and build novel protei
  
    61 and flexibility are well defined concepts in mathematics and physics, with a body of theorems and alg
  
  
    64     The study involved the assessment of the mathematics and reading achievement of 177 children in k
  
    66 nal Student Assessment (PISA), including the mathematics and reading performance of nearly 1.5 millio
    67 verage Florida Comprehensive Assessment Test mathematics and reading scores at ages 8 through 15 year
  
    69 ned to help parents convey the importance of mathematics and science courses to their high-school-age
    70 udy, we found that the intervention improved mathematics and science standardized test scores on a co
  
    72 work theory has evolved within the fields of mathematics and sociology and has resulted in its applic
  
  
  
  
  
    78 as molecular biology, biochemistry, physics, mathematics, and computer science are now known as syste
    79 t the immense potential of dynamical models, mathematics, and data-guided methodologies for improving
    80  is made possible by advances in technology, mathematics, and engineering that allow scientists to au
  
    82 mponent to children's ability in reading and mathematics, and estimate that around one half of the ob
    83 ay a role in some of the deepest problems in mathematics, and represents an appearance of pariah grou
  
  
    86  origins of its association with general and mathematics anxiety in a sample of 1,464 19-21-year-old 
  
    88 ntrast, tDCS impaired reaction times for low mathematics anxiety individuals and prevented a decrease
  
  
    91 difficult, and for those with high levels of mathematics-anxiety (HMAs), math is associated with tens
  
    93 ividual differences in achievement in school mathematics are related to individual differences in the
  
  
  
    97 ts a brief survey of the idea of symmetry in mathematics, as exemplified by some particular developme
  
    99 p that were positively associated with early mathematics at 5 and 7 years (both P < 0.05), even after
   100 ely associated with working memory and early mathematics at 5 years (both P < 0.001) even after covar
  
   102 lysis of single cell qPCR data that uses the mathematics behind bursty expression to develop more acc
  
  
  
   106 ldren have the capacity to learn substantial mathematics, but many children lack opportunities to do 
  
   108 ehavior in students studying post-compulsory mathematics compared to post-compulsory English literatu
   109 om genetics, biochemistry, and immunology to mathematics, computational biology, and engineering), in
   110  into the field with backgrounds in physics, mathematics, computer science, and engineering, theoreti
  
   112 , the diverse fields of biology, physics and mathematics converged to discuss 'The Physical Biology o
   113 chers, many students' mastery of science and mathematics depends on the effectiveness of early-career
   114  kin selection models without disturbing the mathematics describing the net effect of selection on co
  
  
   117 n many science, technology, engineering, and mathematics disciplines, women are outperformed by men i
  
   119 e approach to modeling that combines diverse mathematics enabled the simultaneous inclusion of fundam
  
   121 uman primates, and correlated with degree of mathematics experience in both the US and Tsimane' group
  
  
  
   125     Because not all subfields of biology use mathematics for this purpose, misunderstandings of the f
  
   127 ology; social psychology; genetics; biology; mathematics; game theory; linguistics; operations resear
   128 proteges a mentor trains-using data from the Mathematics Genealogy Project, which tracks the mentorsh
   129 : Countries with a smaller sex difference in mathematics had a larger sex difference in reading and v
   130     Increasingly in recent decades, however, mathematics has become pervasive in biology, taking many
  
   132  with examples, of some of the ways in which mathematics has contributed in our field of interest: th
   133 ghted, and a re-evaluation of the underlying mathematics has enabled us to present a simplified serie
  
  
   136  enhanced cognitive and neural resources for mathematics have critical implications for educational, 
   137 book of nature is written in the language of mathematics"; his quantitative approach to understanding
  
   139 policy-makers have assumed that the study of mathematics improves one's general 'thinking skills'.   
  
  
   142 ities, in people who have received no formal mathematics instruction and cannot express such knowledg
  
   144 they suggest that uniquely human branches of mathematics interface with an evolutionarily primitive g
  
  
   147 been correct to claim that studying advanced mathematics is associated with the development of logica
   148 e in infancy and support the hypothesis that mathematics is built upon an intuitive sense of number t
  
  
  
  
   153 allow children to rapidly acquire the formal mathematics knowledge that took our ancestors many mille
  
  
  
   157  logical inference, and draw on the discrete mathematics of finite partially ordered sets (posets) to
   158 ity for striation proves consistent with the mathematics of force-driven sarcomere registration, cont
   159 light, facilitated by recent advances in the mathematics of forest modeling, ecological understanding
   160 To unify these perspectives, we analysed the mathematics of innovation as a search for designs across
   161 isely the objective of seismology, where the mathematics of inverse problems have been employed with 
   162  review provides a brief introduction to the mathematics of knots and related topological concepts in
   163 cal properties such as stiffness, and so the mathematics of mechanotransduction becomes important to 
  
   165 al Darwinism project, which aims to link the mathematics of motion (difference and differential equat
   166 escribe gene frequency trajectories with the mathematics of optimization used to describe purpose and
  
  
  
  
  
   172 istics in the organization of data sets, the mathematics of shape recognition in high dimensions cont
   173 with detailed topological analysis using the mathematics of tangles, shows that only a limited number
  
  
  
  
   178    Herein, we present an introduction to the mathematics of tree enumeration, tree construction, spli
  
   180 ey are much less likely than men to major in mathematics or science or to choose a profession in thes
   181 nd geometric Brownian motion from stochastic mathematics, our analysis shows that a vascular network 
   182 vocabulary (P < 0.001), reading (P < 0.001), mathematics (P < 0.001), working memory (P < 0.001), ora
   183 ddress 3 questions: Do gender differences in mathematics performance exist in the general population?
   184 arily ancient number sense may impact school mathematics performance in children; however, we know li
   185 in the U.S. have reached parity with boys in mathematics performance, a pattern that is found in some
   186 re are countries without a sex difference in mathematics performance, and in some countries girls sco
   187 reported a causal link between ANS tasks and mathematics performance, implicating the ANS in the deve
   188  well beyond the historical contributions of mathematics, physical sciences, and engineering to medic
  
   190 tisol and the number and speed of answers to mathematics problems in the task were used to assess neu
   191 iographic databases in biology, physics, and mathematics, respectively, networks are constructed in w
   192     The mean of GCSE core subjects (English, mathematics, science) is more heritable (62%) than the n
   193 d temporal forms--is a central foundation of mathematics, science, and technology, but the origins an
  
   195 vocabulary, reading comprehension, language, mathematics, sources of information, and an overall comp
   196 ire users to have sophisticated knowledge of mathematics, statistics and computer skills for usage.  
   197 computational field (e.g., computer science, mathematics, statistics, computational biology, bioinfor
   198 ghly interdisciplinary, using knowledge from mathematics, statistics, computer science, biology, medi
   199 aduate science, technology, engineering, and mathematics (STEM) courses under traditional lecturing v
  
  
   202 roving science, technology, engineering, and mathematics (STEM) education, especially for traditional
  
   204 ollege science, technology, engineering, and mathematics (STEM) faculty to include any active learnin
  
   206 nce in science, technology, engineering, and mathematics (STEM) is critically important as preparatio
  
   208 within science, technology, engineering, and mathematics (STEM) settings is provocative and raises qu
  
  
  
   212 ne with the Theory of Formal Discipline, the mathematics students did develop their conditional reaso
   213 eory, we have drawn upon various branches of mathematics such as combinatorics of random walks, Brown
  
   215 the effectiveness of high-school science and mathematics teachers increased substantially with experi
  
  
  
   219 ewhat blurry distinction between biology and mathematics that can so easily undermine and obscure the
   220 ntals of network theory, a branch of applied mathematics that has numerous applications in many field
  
   222 s without the need to follow the complicated mathematics that were presented in this paper just for i
   223 of 3360 electrograms, using inverse-solution mathematics, that are superimposed onto a computer-simul
  
   225  and integrate cellular systems, develop the mathematics, theory and software tools for the accurate 
   226 st as there are uncertainties in physics and mathematics, there are some chemistry questions we may n
  
   228 rticularly the list of Hilbert's problems in mathematics, this subjective and eclectic list of priori
  
   230 urrent theories often resort to rather heavy mathematics to overcome some technical difficulties inhe
  
   232 ral prefrontal cortices during two 30-minute mathematics training sessions involving body movements. 
   233 readers, especially those uncomfortable with mathematics, treat published multivariable models as a b
  
  
   236  evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and 
  
   238 , and the adjusted odds ratios (95% CIs) for mathematics were 0.49 (0.29-0.82), 0.51 (0.34-0.78), and
   239   Further, paradoxically, sex differences in mathematics were consistently and strongly inversely cor
  
   241  guidance from our colleagues in physics and mathematics who have successfully integrated their knowl
   242  Game theory is a well established branch of mathematics whose formalism has a vast range of applicat
   243 ce of a science, technology, engineering and mathematics workforce to economic growth and the role of
   244 cs, chemistry, computer science, and applied mathematics, working within a "complex modeling" paradig
   245 ether concurrent task difficulty (performing mathematics) would modulate the LPP while participants v
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