FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313360085> ?p ?o ?g. }

• W4313360085 endingPage "259" @default.
• W4313360085 startingPage "221" @default.
• W4313360085 abstract "Quantitative and covariational reasoning characterize essential ways of thinking for conceptualizing and representing growth patterns in pairs of quantities in dynamic situations. Despite the broad body of research documenting the central role of quantitative reasoning in students’ ability to construct meaningful function formulas and graphs relating pairs of quantities’ values, little progress has been made to operationalize this theory in precalculus curricula and instruction. This chapter describes conventions for supporting instructors transitioning their students to spontaneously engage in quantitative reasoning toward the goal of conceptualizing the quantitative structure described in an applied problem context. The Pathways conventions for supporting quantitative reasoning reinforce: (i) consistent patterns of referencing and speaking about quantities and how they relate to other quantities in the problem context (speaking with meaning); (ii) physical motion for conceptualizing quantities and considering how the values of pairs of quantities vary together (quantity tracking tool); (iii) use of consistent representational conventions when making a drawing to represent the quantitative structure of a problem context (quantitative drawing); and (iv) consistent expectations and patterns for defining variables, and constructing algebraic expressions and formulas (emergent symbolization). These conventions emerged in the context of a 15-year research and development project focused on supporting instructors in making their precalculus teaching more engaging, meaningful, and coherent. We provide a rationale for introducing each convention and explain how each convention supports students in constructing and representing quantitative relationships symbolically and graphically. We describe our approach to motivating and supporting instructors to adopt these conventions and conclude by illustrating how these instructional conventions might impact an instructor’s mathematical connections and instructional practices." @default.
• W4313360085 created "2023-01-06" @default.
• W4313360085 creator A5015046565 @default.
• W4313360085 creator A5019190283 @default.
• W4313360085 creator A5065539978 @default.
• W4313360085 date "2022-01-01" @default.
• W4313360085 modified "2023-09-28" @default.
• W4313360085 title "Instructional Conventions for Conceptualizing, Graphing and Symbolizing Quantitative Relationships" @default.
• W4313360085 cites W1551342482 @default.
• W4313360085 cites W184046281 @default.
• W4313360085 cites W1901962684 @default.
• W4313360085 cites W1979396065 @default.
• W4313360085 cites W1980156544 @default.
• W4313360085 cites W1988384676 @default.
• W4313360085 cites W1988920654 @default.
• W4313360085 cites W1989822322 @default.
• W4313360085 cites W2003810645 @default.
• W4313360085 cites W2012608463 @default.
• W4313360085 cites W2012631086 @default.
• W4313360085 cites W2030034922 @default.
• W4313360085 cites W2046790558 @default.
• W4313360085 cites W2074016187 @default.
• W4313360085 cites W2077173143 @default.
• W4313360085 cites W2079553224 @default.
• W4313360085 cites W2117433138 @default.
• W4313360085 cites W2122120800 @default.
• W4313360085 cites W2128231646 @default.
• W4313360085 cites W2146863745 @default.
• W4313360085 cites W2153903308 @default.
• W4313360085 cites W2171138899 @default.
• W4313360085 cites W2321226147 @default.
• W4313360085 cites W2572052107 @default.
• W4313360085 cites W2754741528 @default.
• W4313360085 cites W2767861476 @default.
• W4313360085 cites W2808585868 @default.
• W4313360085 cites W2898237760 @default.
• W4313360085 cites W2913049465 @default.
• W4313360085 cites W2940277046 @default.
• W4313360085 cites W2970831738 @default.
• W4313360085 cites W3007585078 @default.
• W4313360085 cites W3082881270 @default.
• W4313360085 cites W3153020033 @default.
• W4313360085 cites W3160763384 @default.
• W4313360085 cites W3160992382 @default.
• W4313360085 cites W4211067340 @default.
• W4313360085 cites W4239631467 @default.
• W4313360085 cites W4251351703 @default.
• W4313360085 cites W44083854 @default.
• W4313360085 doi "https://doi.org/10.1007/978-3-031-14553-7_9" @default.
• W4313360085 hasPublicationYear "2022" @default.
• W4313360085 type Work @default.
• W4313360085 citedByCount "0" @default.
• W4313360085 crossrefType "book-chapter" @default.
• W4313360085 hasAuthorship W4313360085A5015046565 @default.
• W4313360085 hasAuthorship W4313360085A5019190283 @default.
• W4313360085 hasAuthorship W4313360085A5065539978 @default.
• W4313360085 hasConcept C104114177 @default.
• W4313360085 hasConcept C111472728 @default.
• W4313360085 hasConcept C129731507 @default.
• W4313360085 hasConcept C136119220 @default.
• W4313360085 hasConcept C138885662 @default.
• W4313360085 hasConcept C14036430 @default.
• W4313360085 hasConcept C144024400 @default.
• W4313360085 hasConcept C145420912 @default.
• W4313360085 hasConcept C151730666 @default.
• W4313360085 hasConcept C154945302 @default.
• W4313360085 hasConcept C15744967 @default.
• W4313360085 hasConcept C199360897 @default.
• W4313360085 hasConcept C202444582 @default.
• W4313360085 hasConcept C2779343474 @default.
• W4313360085 hasConcept C2780608745 @default.
• W4313360085 hasConcept C2780801425 @default.
• W4313360085 hasConcept C2780876879 @default.
• W4313360085 hasConcept C33923547 @default.
• W4313360085 hasConcept C36289849 @default.
• W4313360085 hasConcept C41008148 @default.
• W4313360085 hasConcept C542102704 @default.
• W4313360085 hasConcept C78458016 @default.
• W4313360085 hasConcept C86803240 @default.
• W4313360085 hasConcept C9354725 @default.
• W4313360085 hasConceptScore W4313360085C104114177 @default.
• W4313360085 hasConceptScore W4313360085C111472728 @default.
• W4313360085 hasConceptScore W4313360085C129731507 @default.
• W4313360085 hasConceptScore W4313360085C136119220 @default.
• W4313360085 hasConceptScore W4313360085C138885662 @default.
• W4313360085 hasConceptScore W4313360085C14036430 @default.
• W4313360085 hasConceptScore W4313360085C144024400 @default.
• W4313360085 hasConceptScore W4313360085C145420912 @default.
• W4313360085 hasConceptScore W4313360085C151730666 @default.
• W4313360085 hasConceptScore W4313360085C154945302 @default.
• W4313360085 hasConceptScore W4313360085C15744967 @default.
• W4313360085 hasConceptScore W4313360085C199360897 @default.
• W4313360085 hasConceptScore W4313360085C202444582 @default.
• W4313360085 hasConceptScore W4313360085C2779343474 @default.
• W4313360085 hasConceptScore W4313360085C2780608745 @default.
• W4313360085 hasConceptScore W4313360085C2780801425 @default.
• W4313360085 hasConceptScore W4313360085C2780876879 @default.
• W4313360085 hasConceptScore W4313360085C33923547 @default.

• next