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)

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論文の詳細を見る
群馬大学の論文

著者

松井宏義
群馬県渋川市立渋川中学校
布川護
群馬大学
栗原秀文
群馬県前橋市立鎌倉小学校
栗原秀文
群馬県伊勢崎市立宮郷中学校
過外正律
群馬県前橋市鎌倉中学校
木村聡
群馬県前橋市立元総社中学校
松井宏義
群馬県玉村町立玉村中学校
小関煕純
群馬大学教育学部数学教育講座
武藤英男
群馬大学教育学部数学教育講座
田村光也
群馬大学大学院数学教育専修(高崎市立長野郷中学校)
布川護
群馬大学教育学部数学教育講座
小関煕純
群馬大学教育学部
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)

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)

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