多項式における中学生の文字認知 : 文字概念を育てる授業のあり方(3年次報告)
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概要
著者
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松井 宏義
群馬県渋川市立渋川中学校
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布川 護
群馬大学
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過外 正律
群馬県前橋市鎌倉中学校
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木村 聡
群馬県前橋市立元総社中学校
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松井 宏義
群馬県玉村町立玉村中学校
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小関 煕純
群馬大学教育学部数学教育講座
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武藤 英男
群馬大学教育学部数学教育講座
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布川 護
群馬大学教育学部数学教育講座
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過外 正律
群馬大学大学院数学教育専修(群馬県前橋市立鎌倉中学校)
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小関 煕純
群馬大学教育学部
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布川 護
群馬大学教育学部
関連論文
- On a remark of strongly convex functions of order $\beta$ and convex of order $\alpha$ (Extensions of the historical calculus transforms in the geometric function theory)
- On another proof of Ozaki's theorem and a sufficient condition for univalence (Extensions of the historical calculus transforms in the geometric function theory)
- On Another Easy Proof of Owa's Result for Starlikeness
- 簡約律と図形指導 : 数学の発見について
- 3C-5 図形の論証能力を高める授業の在り方 : 推論の過程のつまずきから
- 文字概念を育てる授業のあり方 : 文字式による証明での論証認知
- 文字式の論証指導 : 文字式を育てる授業のあり方(5年時報告)
- 文字式での変数的見方を育てる授業 : 文字観念を育てる授業のあり方(4年次報告)
- 多項式における中学生の文字認知 : 文字概念を育てる授業のあり方(3年次報告)
- ON THE ARGUMENT INEQUALITY OF ANALUYTIC FUNCTIONS (Inequalities in Univalent Function Theory and Its Applications)
- 抽象概念形成に関する望ましい授業のあり方についての研究(11.指導法開発,論文発表の部)
- B17 抽象概念形成に関する指導 : 文字式による論証の指導場面において(B.教授・学習過程分科会)
- A28 「文字式による論証についての理解」に関する研究(A.理解・認知・思考分科会)
- B4 概念形成に関する指導について : 文字指導の授業を通して(B 教授・学習 分科会)
- A15 文字式による論証 : 授業を通して(A 理解・認知・思考分科会)
- 文字式による論証
- 中学生の文字認知について : 基礎調査
- On a generalization of Avhadiev and Aksentev's theorem (幾何学的関数論における合成積の応用 RIMS共同研究報告集)
- A6 「文字式の理解」に関する研究(A.理解・認知・思考分科会)
- 文字概念の認知発達についての調査
- On a generalization of Avhadiev and Aksentev's theorem (Applications of convolutions in geometric function theory)
- ON THE STRONGLY STARLIKENESS OF MULTIVALENTLY CONVEX FUNCTIONS OF ORDER $\alpha$
- Multivalent Starlikeness Conditions for Analystic Functions
- ON THE ORDER OF STRONGLY MEROMORPHIC STARLIKENESS OF STRONGLY MEROMORPHIC CONVEX FUNCTIONS (Applications of Complex Function Theory to Differential Equations)
- THE SCHWARZIAN DERIVATIVE AND STARLIKENESS (Applications of Complex Function Theory to Differential Equations)
- 有理型関数の星型であるための十分条件について(Convolution の新しい展開)
- ON MEROMORPHIC CONVEX AND STARLIKE FUNCTIONS
- On angular estimate of analytic functions
- On Certain Starlike Functions
- On a Sufficient Condition for the Univalency and a Theory of non-Caratheodory Functions
- A note on the length of starlike functions (Coefficient Inequalities in Univalent Function Theory and Related Topics)
- 小学校における文字指導研究の変遷 : 文字概念を育てるための授業のあり方
- ARGUMENT ESTIMATES FOR CERTAIN ANALYTIC FUNCTIONS (Study on Differential Operators and Integral Operators in Univalent Function Theory)
- Argument estimates for certain analytic functions
- Majorization of Subordinate Harmonic Functions
- On a strongly starlikeness criteria (Inequalities in Univalent Function Theory and Its Applications)
- MAJORIZATION OF SUBORDINATE HARMONIC FUNCTIONS (Inequalities in Univalent Function Theory and Its Applications)
- Sufficient conditions for Caratheodory functions (Study on Inverse Problems in Univalent Function Theory)
- New coefficient inequalities for starlike and convex functions (New Extension of Historical Theorems for Univalent Function Theory)
- CLOSE-TO-CONVEXITY, STARLIKENESS AND CONVEXITY
- ON THE QUOTIENT OF THE AHALYTIC REPRESENTATIONS OF CONVEX AND STARLIKE FUNCTIONS
- On certain subclasses of analytic functions involving a linear operator
- On a sufficient condition for starlikeness (Study on Non-Analytic and Univalent Functions and Applications)
- On a sufficient condition for starlikeness of meromorphic functions (Study on Non-Analytic and Univalent Functions and Applications)
- On the strongly starlikeness of starlike functions (Study on Non-Analytic and Univalent Functions and Applications)
- On Nunokawa's Lemma (Study on Non-Analytic and Univalent Functions and Applications)
- On The Order of Starlikeness and Strongly Starlikeness of Convex Functions of Order $\alpha$ and Strongly Convex of Order $\beta$ (Study on Applications for Fractional Calculus Operators in Univalent Function Theory)
- Estimate of Real Part of Analytic Functions (Inequalities in Univalent Function Theory and Its Applications)
- On a sufficient condition for starlikeness (Inequalities in Univalent Function Theory and Its Applications)
- A remark on convex and starlike functions (Inequalities in Univalent Function Theory and Its Applications)
- ON SOME PROPERTIES OF ANALYTIC FUNCTIONS (Inequalities in Univalent Function Theory and Its Applications)
- On Certain Differential Operator
- 「教」える授業から「育」てる授業へ : 数学科における「育」てる授業について
- 「論証」の理解に関する研究((4)証明、論証,1.カリキュラム、目標、内容,最近10年間(1991-2000)の研究のまとめと課題,「課題別研究部会」発表集録)
- 解析関数の係数評価について (単葉関数論における逆問題についての研究)
- 凸型性と星形性に関する尾和予想について
- ON THE MULTIVALENT FUNCTIONS WITH BOUNCED ARGUMENT
- On Meromorphic Starlike and Convex Functions
- Starlikeness of Libera transformation (II) (Applications of Complex Function Theory to Differential Equations)
- On certain conditions for starlikeness (Study on Inverse Problems in Univalent Function Theory)
- On some inverse properties for univalent functions (New Extension of Historical Theorems for Univalent Function Theory)
- On $p$-valently convex and starlike functions of order $\alpha$ (New Extension of Historical Theorems for Univalent Function Theory)
- On close-to-$\alpha$-concave functions (New Extension of Historical Theorems for Univalent Function Theory)
- On meromorphically convex and starlike functions (New Extension of Historical Theorems for Univalent Function Theory)
- Gamma-starlike関数について (解析関数の部分和の性質についての研究)
- ON MEROMORPHICALLY MULTIVALENT FUNCTIONS
- One Criterion on a Class of Certain Analytic Functions
- A REMARK ON $\alpha$-CONVEX FUNCTIONS
- Distortion theorem on the class F(α,β)
- ON SUBCLASSES OF MEROMORPHIC UNIVALENT FUNCTIONS WITH POSITIVE AND FIXED FINITELY MANY COEFFICIENTS
- On A Certain Class Of Starlike Functions. II
- ON CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
- Univalency of analytic functions associated with Schwarzian derivative (Conditions for Univalency of Functions and Applications)
- On weakly $\Phi$-like of order $\alpha$ with respect to certain analytic functions (Conditions for Univalency of Functions and Applications)
- On the order of strongly starlikeness and order of starlikeness of a certain convex functions (Conditions for Univalency of Functions and Applications)
- On a broad class of univalent functions (Conditions for Univalency of Functions and Applications)
- On sufficient conditions for starlikeness (Conditions for Univalency of Functions and Applications)
- ON A SUBCLASS OF p-VALENT FUNCTIONS OF ORDER $\alpha$
- 算数・数学教材研究(VI) : 因数分解の一つの指導方法について
- ある星型関数の凸性について
- On Subclasses of Meromorphic Univalent Functions with Positive Coefficients
- CONVOLUTION OF CERTAIN STARLIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS
- A Note On Certain Subordinations
- ON SUBCLASSES OF MEROMORPHIC UNIVALENT FUNCTIONS WITH POSITIVE AND FIXED SECOND COEFFICIENTS
- SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
- On Another Easy Proof of Miller and Mocanu's Theorem
- 単葉であるための一つの十分条件について
- ON THE ORDER OF STRONGLY CLOSE-TO-CONVEXITY OF STRONGLY CONVEX FUNCTIONS (On Schwarzian Derivatives and Its Applications)
- Extension theorems concerned with results by Ponnusamy and Karunakaran (On Schwarzian Derivatives and Its Applications)
- Sufficient Conditions for Univalent Functions
- ある解析関数の偏角に関する性質について
- 多葉関数についての考察
- ON CERTAIN P-VALENTLY STARLIKENESS CONDITIONS FOR ANALYTIC FUNCTIONS(Topics in Univalent Functions and Its Applications)
- STARLIKENESS OF CERTAIN INTEGRAL(Topics in Univalent Functions and Its Applications)
- ON AN INVARIANCE PROPERTY OF CERTAIN ANALYTIC FUNCTIONS(Topics in Univalent Functions and Its Applications)
- 有理型単葉関数の部分族の一般化
- On a sufficient condition for p-valently starlikeness
- On certain multivalent functions
- ON FUNCTIONS STARLIKE IN ONE DIRECTION (Some inequalities concerned with the geometric function theory)
- ON SOME DIFFERENTIAL SUBORDINATIONS (Some inequalities concerned with the geometric function theory)