# Results for: “Mathematics”

Title | Author | Publisher | Format | Buy | Remix | ||
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## Addition and Subtraction: Whole Numbers: SSAT-ISEE Arithmetic |
Ace Academics | Ace Academics | ePub | ||||

## Quadratic Equations and Radicals: SSAT-ISEE Algebra |
Ace Academics | Ace Academics | ePub | ||||

## Variables: GED Algebra |
Ace Academics | Ace Academics | ePub | ||||

## Simplify Fractions: SSAT-ISEE Arithmetic |
Ace Academics | Ace Academics | ePub | ||||

## Chapter 4 Instructional Practices for Application-Based Mathematical Learning |
Chris Weber | Solution Tree Press | ePub | ||||

Teaching mathematics is arguably one of the most complex elements of an elementary teacher’s profession. The nature of mathematical learning is such that students must master specific skills with a fluid understanding that allows them to apply the learning in a variety of contexts and in conjunction with other skills and understandings. In addition, students must master the requisite language and tools in order to be able to communicate and model mathematics. To design and implement instruction that ensures such rich learning, teachers must be able to weave evidence-based instructional strategies with mathematical practices and apply those elements strategically within engaging contexts. Effective instruction includes those instructional decisions that positively impact student learning and engagement. The NMAP (2008) identifies these practices as follows: • Maintenance of the balance between student-centered and teacher-directed instruction • Explicit instruction for students having mathematics difficulties See All Chapters |
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## Units of Measurement: SAT Arithmetic |
Ace Academics | Ace Academics | ePub | ||||

## Equations with Several Variables: COOP-HSPT Algebra |
Ace Academics | Ace Academics | ePub | ||||

## Addition: Fractions: PSAT Arithmetic |
Ace Academics | Ace Academics | ePub | ||||

## 6 |
Parmananda Gupta | Laxmi Publications | |||||

62 DIFFERENTIAL GEOMETRY AND CALCULUS OF VARIATIONS Dividing (3) by (4), we get dθ − a sin θ κ (n . a) ds = dφ − τ (n . a) − a sin φ ds κ sin θ dθ = . τ sin φ dφ Example 14. For the curve r = r(s), if ⇒ – dt = w × t, ds Sol. Given equations are dn db = w × n and = w × b, find the vector w. ds ds dt =w×t ds ...(1) dn = w × n ...(2) ds db =w×b ds By Frenet formula, dt = κn . ds ⇒ dt = 0 + κn = τ(t × t) + κ(b × t) = (τt + κb) × t ds ∴ dt = (τt + κb) × t ds By Frenet formula, dn = – κt + τb. ds ⇒ ∴ By ⇒ ∴ If ...(3) ...(4) dn = – κ(n × b) + τ(t × n) = κ(b × n) + τ(t × n) ds = (κb + τt) × n = (τt + κb) × n dn = (τt + κb) × n ds db Frenet formula, = – τn. ds db = – τ(b × t) + 0 = τ(t × b) + κ( b × b ) = (τt + κb) × b ds db = (τt + κb) × b ds w = τt + κb, then given equations (1), (2) and (3) are satisfied. ...(5) ...(6) Note. The vector w = τt + κb is called the Darboux vector for the curve r = r(s). Example 15. Using Serret-Frenet formula, find the direction cosines of the unit principal normal vector and the unit binormal vector at the point ‘s’ for the curve r = r(s). See All Chapters |
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## Circles - Regular Polygons: PSAT Geometry |
Ace Academics | Ace Academics | ePub | ||||

## Real Numbers: PSAT Arithmetic |
Ace Academics | Ace Academics | ePub | ||||

## Signed Numbers: COOP-HSPT Algebra |
Ace Academics | Ace Academics | ePub | ||||

## Like Terms: PSAT Algebra |
Ace Academics | Ace Academics | ePub | ||||

## Properties of Numbers: Praxis I Arithmetic |
Ace Academics | Ace Academics | ePub | ||||

## Concepts: COOP-HSPT Algebra |
Ace Academics | Ace Academics | ePub | ||||