Why is learning fraction and decimal arithmetic so difficult?

H Lortie-Forgues, J Tian, RS Siegler - Developmental Review, 2015‏ - Elsevier
Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability
to succeed in many professions. Unfortunately, these capabilities pose large difficulties for …

Developmental and individual differences in understanding of fractions.

RS Siegler, AA Pyke - Developmental psychology, 2013‏ - psycnet.apa.org
We examined developmental and individual differences in 6th and 8th graders' fraction
arithmetic and overall mathematics achievement and related them to differences in …

Teachers' conceptual understanding of fraction operations: results from a national sample of elementary school teachers

Y Copur-Gencturk - Educational Studies in Mathematics, 2021‏ - Springer
Teachers' understanding of the concepts they teach affects the quality of instruction and
students' learning. This study used a sample of 303 teachers from across the USA to …

Closing the word-problem achievement gap in first grade: Schema-based word-problem intervention with embedded language comprehension instruction.

LS Fuchs, PM Seethaler, SK Sterba… - Journal of …, 2021‏ - psycnet.apa.org
The main purpose of this study was to test the effects of word-problem (WP) intervention,
with versus without embedded language comprehension (LC) instruction, on at-risk 1st …

Improving children's knowledge of fraction magnitudes

LK Fazio, CA Kennedy, RS Siegler - PloS one, 2016‏ - journals.plos.org
We examined whether playing a computerized fraction game, based on the integrated
theory of numerical development and on the Common Core State Standards' suggestions for …

Towards a mathematically more correct understanding of rational numbers: A longitudinal study with upper elementary school learners

J Van Hoof, T Degrande, E Ceulemans… - Learning and Individual …, 2018‏ - Elsevier
In this study we longitudinally followed 201 upper elementary school learners in the crucial
years of acquiring rational number understanding. Using latent transition analysis we …

Using digital resources for motivation and engagement in learning mathematics: Reflections from teachers and students

T Chao, J Chen, JR Star, C Dede - Digital Experiences in Mathematics …, 2016‏ - Springer
Students' motivation to learn mathematics often declines during the middle grades. How do
we keep students engaged with learning mathematics as it gets more complex? One way is …

Behavioral fluency and mathematics intervention research: A review of the last 20 years

JD Stocker Jr, R Schwartz, RM Kubina Jr… - Behavioral …, 2019‏ - Wiley Online Library
Behavioral fluency refers to the relationship between the achievement of performance
standards, or frequency ranges of behavior, and critical learning outcomes. Over the past 20 …

Cognitive predictors of calculations and number line estimation with whole numbers and fractions among at-risk students.

JM Namkung, LS Fuchs - Journal of Educational Psychology, 2016‏ - psycnet.apa.org
The purpose of this study was to examine the cognitive predictors of calculations and
number line estimation with whole numbers and fractions. At-risk 4th-grade students (N …

Supporting clear and concise mathematics language: Instead of that, say this

EM Hughes, SR Powell… - Teaching Exceptional …, 2016‏ - journals.sagepub.com
Juan, a child with a mathematics disability, is learning about addition and subtraction of
fractions. Juan's special education teacher, Mrs. Miller, has tried to simplify language about …