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1

Developing conceptual understanding and procedural skill in mathematics: An iterative process.

Rittle-Johnson, Bethany, Siegler, Robert S., Alibali, Martha Wagner

Journal:

Journal of Educational Psychology

Year:

2001

Language:

english

File:

PDF, 1.94 MB

english, 2001

2

Wait for it . . . Delaying Instruction Improves Mathematics Problem Solving: A Classroom Study

Loehr, Abbey Marie, Fyfe, Emily R, Rittle-Johnson, Bethany

Journal:

The Journal of Problem Solving

Year:

2014

Language:

english

File:

PDF, 262 KB

english, 2014

3

Feedback both helps and hinders learning: The causal role of prior knowledge.

Fyfe, Emily R., Rittle-Johnson, Bethany

Journal:

Journal of Educational Psychology

Year:

2016

Language:

english

File:

PDF, 388 KB

english, 2016

4

The home math environment: More than numeracy

Zippert, Erica L, Rittle-Johnson, Bethany

Journal:

Early Childhood Research Quarterly

Year:

2018

Language:

english

File:

PDF, 776 KB

english, 2018

5

Improving conceptual and procedural knowledge: The impact of instructional content within a mathematics lesson

Rittle-Johnson, Bethany, Fyfe, Emily R., Loehr, Abbey M.

Journal:

British Journal of Educational Psychology

Year:

2016

Language:

english

File:

PDF, 279 KB

english, 2016

6

Promoting self-explanation to improve mathematics learning: A meta-analysis and instructional design principles

Rittle-Johnson, Bethany, Loehr, Abbey M., Durkin, Kelley

Journal:

Year:

2017

Language:

english

File:

PDF, 765 KB

english, 2017

7

Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations.

Rittle-Johnson, Bethany, Star, Jon R.

Journal:

Journal of Educational Psychology

Year:

2007

Language:

english

File:

PDF, 634 KB

english, 2007

8

Measure for Measure: What Combining Diverse Measures Reveals About Children's Understanding of the Equal Sign as an Indicator of Mathematical Equality

Percival Matthews, Bethany Rittle-Johnson, Katherine McEldoon and Roger Taylor

Journal:

Journal for Research in Mathematics Education

Year:

2012

Language:

english

File:

PDF, 378 KB

english, 2012

9

Conceptual and procedural knowledge of mathematics: Does one lead to the other?

Rittle-Johnson, Bethany, Alibali, Martha Wagner

Journal:

Journal of Educational Psychology

Year:

1999

Language:

english

File:

PDF, 2.08 MB

english, 1999

10

How Can Cognitive-Science Research Help Improve Education? The Case of Comparing Multiple Strategies to Improve Mathematics Learning and Teaching

Rittle-Johnson, Bethany, Star, Jon R., Durkin, Kelley

Journal:

Current Directions in Psychological Science

Year:

2020

File:

PDF, 1.02 MB

2020

11

In pursuit of knowledge: Comparing self-explanations, concepts, and procedures as pedagogical tools

Percival Matthews, Bethany Rittle-Johnson

Journal:

Journal of Experimental Child Psychology

Year:

2009

Language:

english

File:

PDF, 312 KB

english, 2009

12

Using erroneous examples to improve mathematics learning with a web-based tutoring system

Adams, Deanne M., McLaren, Bruce M., Durkin, Kelley, Mayer, Richard E., Rittle-Johnson, Bethany, Isotani, Seiji, van Velsen, Martin

Journal:

Computers in Human Behavior

Year:

2014

Language:

english

File:

PDF, 1.08 MB

english, 2014

13

The importance of prior knowledge when comparing examples: Influences on conceptual and procedural knowledge of equation solving.

Rittle-Johnson, Bethany, Star, Jon R., Durkin, Kelley

Journal:

Journal of Educational Psychology

Year:

2009

Language:

english

File:

PDF, 155 KB

english, 2009

14

Developing Mathematics Knowledge

Rittle-Johnson, Bethany

Journal:

Child Development Perspectives

Year:

2017

Language:

english

File:

PDF, 199 KB

english, 2017

15

Iterating between lessons on concepts and procedures can improve mathematics knowledge

Bethany Rittle-Johnson, Kenneth Koedinger

Journal:

British Journal of Educational Psychology

Year:

2009

Language:

english

File:

PDF, 386 KB

english, 2009

16

Is self-explanation worth the time? A comparison to additional practice

McEldoon, Katherine L., Durkin, Kelley L., Rittle-Johnson, Bethany

Journal:

British Journal of Educational Psychology

Year:

2013

Language:

english

File:

PDF, 216 KB

english, 2013

17

An alternative time for telling: When conceptual instruction prior to problem solving improves mathematical knowledge

Fyfe, Emily R., DeCaro, Marci S., Rittle-Johnson, Bethany

Journal:

British Journal of Educational Psychology

Year:

2014

Language:

english

File:

PDF, 283 KB

english, 2014

18

Diagnosing misconceptions: Revealing changing decimal fraction knowledge

Durkin, Kelley, Rittle-Johnson, Bethany

Journal:

Learning and Instruction

Year:

2015

Language:

english

File:

PDF, 311 KB

english, 2015

19

Designing Knowledge Scaffolds to Support Mathematical Problem Solving

Bethany Rittle-Johnson and Kenneth R. Koedinger

Journal:

Cognition and Instruction

Year:

2005

Language:

english

File:

PDF, 1.42 MB

english, 2005

20

Compared with what? The effects of different comparisons on conceptual knowledge and procedural flexibility for equation solving.

Rittle-Johnson, Bethany, Star, Jon R.

Journal:

Journal of Educational Psychology

Year:

2009

Language:

english

File:

PDF, 200 KB

english, 2009

21

Relations among conceptual knowledge, procedural knowledge, and procedural flexibility in two samples differing in prior knowledge.

Schneider, Michael, Rittle-Johnson, Bethany, Star, Jon R.

Journal:

Developmental Psychology

Year:

2011

Language:

english

File:

PDF, 177 KB

english, 2011

22

Using comparison of multiple strategies in the mathematics classroom: lessons learned and next steps

Durkin, Kelley, Star, Jon R., Rittle-Johnson, Bethany

Journal:

Year:

2017

Language:

english

File:

PDF, 1.03 MB

english, 2017

23

The roles of patterning and spatial skills in early mathematics development

Rittle-Johnson, Bethany, Zippert, Erica L., Boice, Katherine L.

Journal:

Early Childhood Research Quarterly

Year:

2018

Language:

english

File:

PDF, 1.22 MB

english, 2018

24

Learning to Spell: Variability, Choice, and Change in Children's Strategy Use

Bethany Rittle-Johnson, Robert S. Siegler

Journal:

Child Development

Year:

1999

Language:

english

File:

PDF, 287 KB

english, 1999

25

Flexibility in problem solving: The case of equation solving

Jon R. Star, Bethany Rittle-Johnson

Journal:

Learning and Instruction

Year:

2008

Language:

english

File:

PDF, 619 KB

english, 2008

26

Comparison helps students learn to be better estimators

Jon R. Star, Martina Kenyon, Rebecca M. Joiner and Bethany Rittle-Johnson

Journal:

Teaching Children Mathematics

Year:

2010

Language:

english

File:

PDF, 2.82 MB

english, 2010

27

When feedback is cognitively-demanding: the importance of working memory capacity

Fyfe, Emily R., DeCaro, Marci S., Rittle-Johnson, Bethany

Journal:

Instructional Science

Year:

2015

Language:

english

File:

PDF, 356 KB

english, 2015

28

Achievement motivation and knowledge development during exploratory learning

DeCaro, Daniel A., DeCaro, Marci S., Rittle-Johnson, Bethany

Journal:

Learning and Individual Differences

Year:

2015

Language:

english

File:

PDF, 1.26 MB

english, 2015

29

Not a One-Way Street: Bidirectional Relations Between Procedural and Conceptual Knowledge of Mathematics

Rittle-Johnson, Bethany, Schneider, Michael, Star, Jon R.

Journal:

Educational Psychology Review

Year:

2015

Language:

english

File:

PDF, 243 KB

english, 2015

30

Assessing knowledge of mathematical equivalence: A construct-modeling approach.

Rittle-Johnson, Bethany, Matthews, Percival G., Taylor, Roger S., McEldoon, Katherine L.

Journal:

Journal of Educational Psychology

Year:

2011

Language:

english

File:

PDF, 172 KB

english, 2011

31

Comparison and Explanation of Multiple Strategies: One Example of a Small Step Forward for Improving Mathematics Education

Star, J. R., Rittle-Johnson, B., Durkin, K.

Journal:

Policy Insights from the Behavioral and Brain Sciences

Year:

2016

Language:

english

File:

PDF, 514 KB

english, 2016

32

Mathematics practice without feedback: A desirable difficulty in a classroom setting

Fyfe, Emily R., Rittle-Johnson, Bethany

Journal:

Instructional Science

Year:

2017

Language:

english

File:

PDF, 499 KB

english, 2017

33

Early Math Trajectories: Low-Income Children's Mathematics Knowledge From Ages 4 to 11

Rittle-Johnson, Bethany, Fyfe, Emily R., Hofer, Kerry G., Farran, Dale C.

Journal:

Child Development

Year:

2016

Language:

english

File:

PDF, 194 KB

english, 2016

34

Putting the “th” in Tenths: Providing Place-Value Labels Helps Reveal the Structure of Our Base-10 Numeral System

Loehr, Abbey M., Rittle-Johnson, Bethany

Journal:

Journal of Cognition and Development

Year:

2017

Language:

english

File:

PDF, 1.61 MB

english, 2017

35

Not Just IQ: Patterning Predicts Preschoolers’ Math Knowledge Beyond Fluid Reasoning

Zippert, Erica L., Clayback, Kelsey, Rittle-Johnson, Bethany

Journal:

Journal of Cognition and Development

Year:

2019

Language:

english

File:

PDF, 1.93 MB

english, 2019

36

The role of prior knowledge in the development of strategy flexibility: the case of computational estimation

Jon R. Star, Bethany Rittle-Johnson, Kathleen Lynch, Natasha Perova

Journal:

Year:

2009

Language:

english

File:

PDF, 302 KB

english, 2009

37

Promoting Transfer: Effects of Self-Explanation and Direct Instruction

Bethany Rittle-Johnson

Journal:

Child Development

Year:

2006

Language:

english

File:

PDF, 156 KB

english, 2006

38

When generating answers benefits arithmetic skill: The importance of prior knowledge

Bethany Rittle-Johnson, Alexander Oleksij Kmicikewycz

Journal:

Journal of Experimental Child Psychology

Year:

2008

Language:

english

File:

PDF, 156 KB

english, 2008

39

Learning from explaining: Does it matter if mom is listening?

Bethany Rittle-Johnson, Megan Saylor, Kathryn E. Swygert

Journal:

Journal of Experimental Child Psychology

Year:

2008

Language:

english

File:

PDF, 224 KB

english, 2008

40

It pays to compare: An experimental study on computational estimation

Jon R. Star, Bethany Rittle-Johnson

Journal:

Journal of Experimental Child Psychology

Year:

2009

Language:

english

File:

PDF, 427 KB

english, 2009

41

The effectiveness of using incorrect examples to support learning about decimal magnitude

Kelley Durkin, Bethany Rittle-Johnson

Journal:

Learning and Instruction

Year:

2012

Language:

english

File:

PDF, 325 KB

english, 2012

42

Developing procedural flexibility: Are novices prepared to learn from comparing procedures?

Bethany Rittle-Johnson, Jon R. Star, Kelley Durkin

Journal:

British Journal of Educational Psychology

Year:

2012

Language:

english

File:

PDF, 641 KB

english, 2012

43

Exploring mathematics problems prepares children to learn from instruction

Marci S. DeCaro, Bethany Rittle-Johnson

Journal:

Journal of Experimental Child Psychology

Year:

2012

Language:

english

File:

PDF, 262 KB

english, 2012

44

Learning from comparison in algebra

Star, Jon R., Pollack, Courtney, Durkin, Kelley, Rittle-Johnson, Bethany, Lynch, Kathleen, Newton, Kristie, Gogolen, Claire

Journal:

Contemporary Educational Psychology

Year:

2015

Language:

english

File:

PDF, 2.26 MB

english, 2015

45

Continuity in Representation Between Children and Adults: Arithmetic Knowledge Hinders Undergraduates' Algebraic Problem Solving

McNeil, Nicole M., Rittle-Johnson, Bethany, Hattikudur, Shanta, Petersen, Lori A.

Journal:

Journal of Cognition and Development

Year:

2010

Language:

english

File:

PDF, 162 KB

english, 2010

46

Emerging Understanding of Patterning in 4-Year-Olds

Rittle-Johnson, Bethany, Fyfe, Emily R., McLean, Laura E., McEldoon, Katherine L.

Journal:

Journal of Cognition and Development

Year:

2013

Language:

english

File:

PDF, 744 KB

english, 2013

47

Beyond numeracy in preschool: Adding patterns to the equation

Rittle-Johnson, Bethany, Fyfe, Emily R., Loehr, Abbey M., Miller, Michael R.

Journal:

Early Childhood Research Quarterly

Year:

2015

Language:

english

File:

PDF, 1007 KB

english, 2015

48

Student, teacher, and instructional characteristics related to students' gains in flexibility

Star, Jon R., Newton, Kristie, Pollack, Courtney, Kokka, Kari, Rittle-Johnson, Bethany, Durkin, Kelley

Journal:

Contemporary Educational Psychology

Year:

2015

Language:

english

File:

PDF, 1004 KB

english, 2015

49

The effects of feedback during exploratory mathematics problem solving: Prior knowledge matters.

Fyfe, Emily R., Rittle-Johnson, Bethany, DeCaro, Marci S.

Journal:

Journal of Educational Psychology

Year:

2012

Language:

english

File:

PDF, 14.84 MB

english, 2012

50

Designing Knowledge Scaffolds to Support Mathematical Problem Solving

Rittle-Johnson, Bethany, Koedinger, Kenneth R.

Journal:

Cognition and Instruction

Year:

2005

Language:

english

File:

PDF, 447 KB

english, 2005